Finding the Third Proportional to 17,787.50 and 25,762.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,787.50 : 25,762.75 = 25,762.75 : x
2. Step 2: Convert to fraction form
   17,787.50/25,762.75 = 25,762.75/x
3. Step 3: Cross multiply
   17,787.50x = 25,762.75 × 25,762.75
4. Step 4: Simplify right side
   17,787.50x = 663,719,287.56
5. Step 5: Solve for x
   x = 663,719,287.56/17,787.50
6. Step 6: Final answer
   x = 37,313.80