Finding the Third Proportional to 41,566.50 and 56,787.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,566.50 : 56,787.75 = 56,787.75 : x
2. Step 2: Convert to fraction form
   41,566.50/56,787.75 = 56,787.75/x
3. Step 3: Cross multiply
   41,566.50x = 56,787.75 × 56,787.75
4. Step 4: Simplify right side
   41,566.50x = 3,224,848,550.06
5. Step 5: Solve for x
   x = 3,224,848,550.06/41,566.50
6. Step 6: Final answer
   x = 77,582.87