Finding the Third Proportional to 31,692 and 67,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,692 : 67,423.50 = 67,423.50 : x
2. Step 2: Convert to fraction form
   31,692/67,423.50 = 67,423.50/x
3. Step 3: Cross multiply
   31,692x = 67,423.50 × 67,423.50
4. Step 4: Simplify right side
   31,692x = 4,545,928,352.25
5. Step 5: Solve for x
   x = 4,545,928,352.25/31,692
6. Step 6: Final answer
   x = 143,440.88