Finding the Third Proportional to 31,882 and 69,353

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882 : 69,353 = 69,353 : x
2. Step 2: Convert to fraction form
   31,882/69,353 = 69,353/x
3. Step 3: Cross multiply
   31,882x = 69,353 × 69,353
4. Step 4: Simplify right side
   31,882x = 4,809,838,609
5. Step 5: Solve for x
   x = 4,809,838,609/31,882
6. Step 6: Final answer
   x = 150,863.77