Finding the Third Proportional to 32,184.50 and 67,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,184.50 : 67,311.50 = 67,311.50 : x
2. Step 2: Convert to fraction form
   32,184.50/67,311.50 = 67,311.50/x
3. Step 3: Cross multiply
   32,184.50x = 67,311.50 × 67,311.50
4. Step 4: Simplify right side
   32,184.50x = 4,530,838,032.25
5. Step 5: Solve for x
   x = 4,530,838,032.25/32,184.50
6. Step 6: Final answer
   x = 140,777.02