Finding the Third Proportional to 5,970.38 and 9,151.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,970.38 : 9,151.31 = 9,151.31 : x
2. Step 2: Convert to fraction form
   5,970.38/9,151.31 = 9,151.31/x
3. Step 3: Cross multiply
   5,970.38x = 9,151.31 × 9,151.31
4. Step 4: Simplify right side
   5,970.38x = 83,746,520.47
5. Step 5: Solve for x
   x = 83,746,520.47/5,970.38
6. Step 6: Final answer
   x = 14,027.01