Finding the Third Proportional to 16,669,888,483,752 and 36,109,154,282,256

Step by Step Solution

1. Step 1: Write the proportion equation
   16,669,888,483,752 : 36,109,154,282,256 = 36,109,154,282,256 : x
2. Step 2: Convert to fraction form
   16,669,888,483,752/36,109,154,282,256 = 36,109,154,282,256/x
3. Step 3: Cross multiply
   16,669,888,483,752x = 36,109,154,282,256 × 36,109,154,282,256
4. Step 4: Simplify right side
   16,669,888,483,752x = 1,303,871,022,979,766,946,151,530,496
5. Step 5: Solve for x
   x = 1,303,871,022,979,766,946,151,530,496/16,669,888,483,752
6. Step 6: Final answer
   x = 78,217,141,299,453.75