Finding the Third Proportional to 31,881 and 69,186

Step by Step Solution

1. Step 1: Write the proportion equation
   31,881 : 69,186 = 69,186 : x
2. Step 2: Convert to fraction form
   31,881/69,186 = 69,186/x
3. Step 3: Cross multiply
   31,881x = 69,186 × 69,186
4. Step 4: Simplify right side
   31,881x = 4,786,702,596
5. Step 5: Solve for x
   x = 4,786,702,596/31,881
6. Step 6: Final answer
   x = 150,142.80