Finding the Third Proportional to 5,098.50 and 8,057.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,098.50 : 8,057.25 = 8,057.25 : x
2. Step 2: Convert to fraction form
   5,098.50/8,057.25 = 8,057.25/x
3. Step 3: Cross multiply
   5,098.50x = 8,057.25 × 8,057.25
4. Step 4: Simplify right side
   5,098.50x = 64,919,277.56
5. Step 5: Solve for x
   x = 64,919,277.56/5,098.50
6. Step 6: Final answer
   x = 12,733.02