Finding the Third Proportional to 31,585 and 68,738

Step by Step Solution

1. Step 1: Write the proportion equation
   31,585 : 68,738 = 68,738 : x
2. Step 2: Convert to fraction form
   31,585/68,738 = 68,738/x
3. Step 3: Cross multiply
   31,585x = 68,738 × 68,738
4. Step 4: Simplify right side
   31,585x = 4,724,912,644
5. Step 5: Solve for x
   x = 4,724,912,644/31,585
6. Step 6: Final answer
   x = 149,593.56