Finding the Third Proportional to 31,910 and 68,558

Step by Step Solution

1. Step 1: Write the proportion equation
   31,910 : 68,558 = 68,558 : x
2. Step 2: Convert to fraction form
   31,910/68,558 = 68,558/x
3. Step 3: Cross multiply
   31,910x = 68,558 × 68,558
4. Step 4: Simplify right side
   31,910x = 4,700,199,364
5. Step 5: Solve for x
   x = 4,700,199,364/31,910
6. Step 6: Final answer
   x = 147,295.50