Finding the Third Proportional to 12,689.16 and 25,686.33

Step by Step Solution

1. Step 1: Write the proportion equation
   12,689.16 : 25,686.33 = 25,686.33 : x
2. Step 2: Convert to fraction form
   12,689.16/25,686.33 = 25,686.33/x
3. Step 3: Cross multiply
   12,689.16x = 25,686.33 × 25,686.33
4. Step 4: Simplify right side
   12,689.16x = 659,787,753.56
5. Step 5: Solve for x
   x = 659,787,753.56/12,689.16
6. Step 6: Final answer
   x = 51,996.19