Finding the Third Proportional to 12,577.50 and 17,325

Step by Step Solution

1. Step 1: Write the proportion equation
   12,577.50 : 17,325 = 17,325 : x
2. Step 2: Convert to fraction form
   12,577.50/17,325 = 17,325/x
3. Step 3: Cross multiply
   12,577.50x = 17,325 × 17,325
4. Step 4: Simplify right side
   12,577.50x = 300,155,625
5. Step 5: Solve for x
   x = 300,155,625/12,577.50
6. Step 6: Final answer
   x = 23,864.49