Finding the Third Proportional to 8,499 and 13,127

Step by Step Solution

1. Step 1: Write the proportion equation
   8,499 : 13,127 = 13,127 : x
2. Step 2: Convert to fraction form
   8,499/13,127 = 13,127/x
3. Step 3: Cross multiply
   8,499x = 13,127 × 13,127
4. Step 4: Simplify right side
   8,499x = 172,318,129
5. Step 5: Solve for x
   x = 172,318,129/8,499
6. Step 6: Final answer
   x = 20,275.11