Finding the Third Proportional to 35,724 and 56,517.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,724 : 56,517.75 = 56,517.75 : x
2. Step 2: Convert to fraction form
   35,724/56,517.75 = 56,517.75/x
3. Step 3: Cross multiply
   35,724x = 56,517.75 × 56,517.75
4. Step 4: Simplify right side
   35,724x = 3,194,256,065.06
5. Step 5: Solve for x
   x = 3,194,256,065.06/35,724
6. Step 6: Final answer
   x = 89,414.85