Finding the Third Proportional to 32.06 and 72.98

Step by Step Solution

1. Step 1: Write the proportion equation
   32.06 : 72.98 = 72.98 : x
2. Step 2: Convert to fraction form
   32.06/72.98 = 72.98/x
3. Step 3: Cross multiply
   32.06x = 72.98 × 72.98
4. Step 4: Simplify right side
   32.06x = 5,326.72
5. Step 5: Solve for x
   x = 5,326.72/32.06
6. Step 6: Final answer
   x = 166.14