Finding the Third Proportional to 31,290 and 65,169

Step by Step Solution

1. Step 1: Write the proportion equation
   31,290 : 65,169 = 65,169 : x
2. Step 2: Convert to fraction form
   31,290/65,169 = 65,169/x
3. Step 3: Cross multiply
   31,290x = 65,169 × 65,169
4. Step 4: Simplify right side
   31,290x = 4,246,998,561
5. Step 5: Solve for x
   x = 4,246,998,561/31,290
6. Step 6: Final answer
   x = 135,730.22