Finding the Third Proportional to 6,496 and 10,124.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496 : 10,124.25 = 10,124.25 : x
2. Step 2: Convert to fraction form
   6,496/10,124.25 = 10,124.25/x
3. Step 3: Cross multiply
   6,496x = 10,124.25 × 10,124.25
4. Step 4: Simplify right side
   6,496x = 102,500,438.06
5. Step 5: Solve for x
   x = 102,500,438.06/6,496
6. Step 6: Final answer
   x = 15,779.01