Finding the Third Proportional to 9,684,789,105,120 and 21,343,646,672,640

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684,789,105,120 : 21,343,646,672,640 = 21,343,646,672,640 : x
2. Step 2: Convert to fraction form
   9,684,789,105,120/21,343,646,672,640 = 21,343,646,672,640/x
3. Step 3: Cross multiply
   9,684,789,105,120x = 21,343,646,672,640 × 21,343,646,672,640
4. Step 4: Simplify right side
   9,684,789,105,120x = 455,551,253,286,496,550,481,035,264
5. Step 5: Solve for x
   x = 455,551,253,286,496,550,481,035,264/9,684,789,105,120
6. Step 6: Final answer
   x = 47,037,808,293,178.32