Finding the Third Proportional to 6,499 and 10,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499 : 10,079.50 = 10,079.50 : x
2. Step 2: Convert to fraction form
   6,499/10,079.50 = 10,079.50/x
3. Step 3: Cross multiply
   6,499x = 10,079.50 × 10,079.50
4. Step 4: Simplify right side
   6,499x = 101,596,320.25
5. Step 5: Solve for x
   x = 101,596,320.25/6,499
6. Step 6: Final answer
   x = 15,632.61