Finding the Third Proportional to 31,801 and 69,374

Step by Step Solution

1. Step 1: Write the proportion equation
   31,801 : 69,374 = 69,374 : x
2. Step 2: Convert to fraction form
   31,801/69,374 = 69,374/x
3. Step 3: Cross multiply
   31,801x = 69,374 × 69,374
4. Step 4: Simplify right side
   31,801x = 4,812,751,876
5. Step 5: Solve for x
   x = 4,812,751,876/31,801
6. Step 6: Final answer
   x = 151,339.64