Finding the Third Proportional to 5,614.31 and 8,117.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,614.31 : 8,117.72 = 8,117.72 : x
2. Step 2: Convert to fraction form
   5,614.31/8,117.72 = 8,117.72/x
3. Step 3: Cross multiply
   5,614.31x = 8,117.72 × 8,117.72
4. Step 4: Simplify right side
   5,614.31x = 65,897,357.70
5. Step 5: Solve for x
   x = 65,897,357.70/5,614.31
6. Step 6: Final answer
   x = 11,737.39