Finding the Third Proportional to 31,850 and 69,238

Step by Step Solution

1. Step 1: Write the proportion equation
   31,850 : 69,238 = 69,238 : x
2. Step 2: Convert to fraction form
   31,850/69,238 = 69,238/x
3. Step 3: Cross multiply
   31,850x = 69,238 × 69,238
4. Step 4: Simplify right side
   31,850x = 4,793,900,644
5. Step 5: Solve for x
   x = 4,793,900,644/31,850
6. Step 6: Final answer
   x = 150,514.93