Finding the Third Proportional to 40,854 and 57,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,854 : 57,811.50 = 57,811.50 : x
2. Step 2: Convert to fraction form
   40,854/57,811.50 = 57,811.50/x
3. Step 3: Cross multiply
   40,854x = 57,811.50 × 57,811.50
4. Step 4: Simplify right side
   40,854x = 3,342,169,532.25
5. Step 5: Solve for x
   x = 3,342,169,532.25/40,854
6. Step 6: Final answer
   x = 81,807.65