Finding the Third Proportional to 11,689 and 25,160

Step by Step Solution

1. Step 1: Write the proportion equation
   11,689 : 25,160 = 25,160 : x
2. Step 2: Convert to fraction form
   11,689/25,160 = 25,160/x
3. Step 3: Cross multiply
   11,689x = 25,160 × 25,160
4. Step 4: Simplify right side
   11,689x = 633,025,600
5. Step 5: Solve for x
   x = 633,025,600/11,689
6. Step 6: Final answer
   x = 54,155.67