Finding the Third Proportional to 6,493.75 and 10,457.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.75 : 10,457.88 = 10,457.88 : x
2. Step 2: Convert to fraction form
   6,493.75/10,457.88 = 10,457.88/x
3. Step 3: Cross multiply
   6,493.75x = 10,457.88 × 10,457.88
4. Step 4: Simplify right side
   6,493.75x = 109,367,149.52
5. Step 5: Solve for x
   x = 109,367,149.52/6,493.75
6. Step 6: Final answer
   x = 16,841.91