Finding the Third Proportional to 31,762.13 and 71,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762.13 : 71,826.75 = 71,826.75 : x
2. Step 2: Convert to fraction form
   31,762.13/71,826.75 = 71,826.75/x
3. Step 3: Cross multiply
   31,762.13x = 71,826.75 × 71,826.75
4. Step 4: Simplify right side
   31,762.13x = 5,159,082,015.56
5. Step 5: Solve for x
   x = 5,159,082,015.56/31,762.13
6. Step 6: Final answer
   x = 162,428.74