Finding the Third Proportional to 31,898 and 69,325

Step by Step Solution

1. Step 1: Write the proportion equation
   31,898 : 69,325 = 69,325 : x
2. Step 2: Convert to fraction form
   31,898/69,325 = 69,325/x
3. Step 3: Cross multiply
   31,898x = 69,325 × 69,325
4. Step 4: Simplify right side
   31,898x = 4,805,955,625
5. Step 5: Solve for x
   x = 4,805,955,625/31,898
6. Step 6: Final answer
   x = 150,666.36