Finding the Third Proportional to 31,882 and 69,352

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882 : 69,352 = 69,352 : x
2. Step 2: Convert to fraction form
   31,882/69,352 = 69,352/x
3. Step 3: Cross multiply
   31,882x = 69,352 × 69,352
4. Step 4: Simplify right side
   31,882x = 4,809,699,904
5. Step 5: Solve for x
   x = 4,809,699,904/31,882
6. Step 6: Final answer
   x = 150,859.42