Finding the Third Proportional to 6,499 and 10,129

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499 : 10,129 = 10,129 : x
2. Step 2: Convert to fraction form
   6,499/10,129 = 10,129/x
3. Step 3: Cross multiply
   6,499x = 10,129 × 10,129
4. Step 4: Simplify right side
   6,499x = 102,596,641
5. Step 5: Solve for x
   x = 102,596,641/6,499
6. Step 6: Final answer
   x = 15,786.53