Finding the Third Proportional to 31,829.20 and 69,134.77

Step by Step Solution

1. Step 1: Write the proportion equation
   31,829.20 : 69,134.77 = 69,134.77 : x
2. Step 2: Convert to fraction form
   31,829.20/69,134.77 = 69,134.77/x
3. Step 3: Cross multiply
   31,829.20x = 69,134.77 × 69,134.77
4. Step 4: Simplify right side
   31,829.20x = 4,779,615,818.02
5. Step 5: Solve for x
   x = 4,779,615,818.02/31,829.20
6. Step 6: Final answer
   x = 150,164.48