Finding the Third Proportional to 11,650 and 25,588

Step by Step Solution

1. Step 1: Write the proportion equation
   11,650 : 25,588 = 25,588 : x
2. Step 2: Convert to fraction form
   11,650/25,588 = 25,588/x
3. Step 3: Cross multiply
   11,650x = 25,588 × 25,588
4. Step 4: Simplify right side
   11,650x = 654,745,744
5. Step 5: Solve for x
   x = 654,745,744/11,650
6. Step 6: Final answer
   x = 56,201.35