Finding the Third Proportional to 6,457.50 and 14,143.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,457.50 : 14,143.88 = 14,143.88 : x
2. Step 2: Convert to fraction form
   6,457.50/14,143.88 = 14,143.88/x
3. Step 3: Cross multiply
   6,457.50x = 14,143.88 × 14,143.88
4. Step 4: Simplify right side
   6,457.50x = 200,049,200.02
5. Step 5: Solve for x
   x = 200,049,200.02/6,457.50
6. Step 6: Final answer
   x = 30,979.36