Finding the Third Proportional to 32,674.50 and 71,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,674.50 : 71,572.50 = 71,572.50 : x
2. Step 2: Convert to fraction form
   32,674.50/71,572.50 = 71,572.50/x
3. Step 3: Cross multiply
   32,674.50x = 71,572.50 × 71,572.50
4. Step 4: Simplify right side
   32,674.50x = 5,122,622,756.25
5. Step 5: Solve for x
   x = 5,122,622,756.25/32,674.50
6. Step 6: Final answer
   x = 156,777.39