Finding the Third Proportional to 6,457.50 and 12,753

Step by Step Solution

1. Step 1: Write the proportion equation
   6,457.50 : 12,753 = 12,753 : x
2. Step 2: Convert to fraction form
   6,457.50/12,753 = 12,753/x
3. Step 3: Cross multiply
   6,457.50x = 12,753 × 12,753
4. Step 4: Simplify right side
   6,457.50x = 162,639,009
5. Step 5: Solve for x
   x = 162,639,009/6,457.50
6. Step 6: Final answer
   x = 25,186.06