Finding the Third Proportional to 31,850 and 68,500

Step by Step Solution

1. Step 1: Write the proportion equation
   31,850 : 68,500 = 68,500 : x
2. Step 2: Convert to fraction form
   31,850/68,500 = 68,500/x
3. Step 3: Cross multiply
   31,850x = 68,500 × 68,500
4. Step 4: Simplify right side
   31,850x = 4,692,250,000
5. Step 5: Solve for x
   x = 4,692,250,000/31,850
6. Step 6: Final answer
   x = 147,323.39