Finding the Third Proportional to 32,764.50 and 71,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764.50 : 71,077.50 = 71,077.50 : x
2. Step 2: Convert to fraction form
   32,764.50/71,077.50 = 71,077.50/x
3. Step 3: Cross multiply
   32,764.50x = 71,077.50 × 71,077.50
4. Step 4: Simplify right side
   32,764.50x = 5,052,011,006.25
5. Step 5: Solve for x
   x = 5,052,011,006.25/32,764.50
6. Step 6: Final answer
   x = 154,191.61