Finding the Third Proportional to 32,779.50 and 72,255

Step by Step Solution

1. Step 1: Write the proportion equation
   32,779.50 : 72,255 = 72,255 : x
2. Step 2: Convert to fraction form
   32,779.50/72,255 = 72,255/x
3. Step 3: Cross multiply
   32,779.50x = 72,255 × 72,255
4. Step 4: Simplify right side
   32,779.50x = 5,220,785,025
5. Step 5: Solve for x
   x = 5,220,785,025/32,779.50
6. Step 6: Final answer
   x = 159,269.82