Finding the Third Proportional to 17,577 and 25,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,577 : 25,414.50 = 25,414.50 : x
2. Step 2: Convert to fraction form
   17,577/25,414.50 = 25,414.50/x
3. Step 3: Cross multiply
   17,577x = 25,414.50 × 25,414.50
4. Step 4: Simplify right side
   17,577x = 645,896,810.25
5. Step 5: Solve for x
   x = 645,896,810.25/17,577
6. Step 6: Final answer
   x = 36,746.70