Finding the Third Proportional to 10,499 and 14,682

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499 : 14,682 = 14,682 : x
2. Step 2: Convert to fraction form
   10,499/14,682 = 14,682/x
3. Step 3: Cross multiply
   10,499x = 14,682 × 14,682
4. Step 4: Simplify right side
   10,499x = 215,561,124
5. Step 5: Solve for x
   x = 215,561,124/10,499
6. Step 6: Final answer
   x = 20,531.59