Finding the Third Proportional to 32,256 and 70,488

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 70,488 = 70,488 : x
2. Step 2: Convert to fraction form
   32,256/70,488 = 70,488/x
3. Step 3: Cross multiply
   32,256x = 70,488 × 70,488
4. Step 4: Simplify right side
   32,256x = 4,968,558,144
5. Step 5: Solve for x
   x = 4,968,558,144/32,256
6. Step 6: Final answer
   x = 154,035.16