Finding the Third Proportional to 31,591 and 67,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,591 : 67,942.50 = 67,942.50 : x
2. Step 2: Convert to fraction form
   31,591/67,942.50 = 67,942.50/x
3. Step 3: Cross multiply
   31,591x = 67,942.50 × 67,942.50
4. Step 4: Simplify right side
   31,591x = 4,616,183,306.25
5. Step 5: Solve for x
   x = 4,616,183,306.25/31,591
6. Step 6: Final answer
   x = 146,123.37