Finding the Third Proportional to 4,561.31 and 7,129.27

Step by Step Solution

1. Step 1: Write the proportion equation
   4,561.31 : 7,129.27 = 7,129.27 : x
2. Step 2: Convert to fraction form
   4,561.31/7,129.27 = 7,129.27/x
3. Step 3: Cross multiply
   4,561.31x = 7,129.27 × 7,129.27
4. Step 4: Simplify right side
   4,561.31x = 50,826,428.35
5. Step 5: Solve for x
   x = 50,826,428.35/4,561.31
6. Step 6: Final answer
   x = 11,142.94