Finding the Third Proportional to 10,899 and 12,681

Step by Step Solution

1. Step 1: Write the proportion equation
   10,899 : 12,681 = 12,681 : x
2. Step 2: Convert to fraction form
   10,899/12,681 = 12,681/x
3. Step 3: Cross multiply
   10,899x = 12,681 × 12,681
4. Step 4: Simplify right side
   10,899x = 160,807,761
5. Step 5: Solve for x
   x = 160,807,761/10,899
6. Step 6: Final answer
   x = 14,754.36