Finding the Third Proportional to 35,632 and 56,418

Step by Step Solution

1. Step 1: Write the proportion equation
   35,632 : 56,418 = 56,418 : x
2. Step 2: Convert to fraction form
   35,632/56,418 = 56,418/x
3. Step 3: Cross multiply
   35,632x = 56,418 × 56,418
4. Step 4: Simplify right side
   35,632x = 3,182,990,724
5. Step 5: Solve for x
   x = 3,182,990,724/35,632
6. Step 6: Final answer
   x = 89,329.56