Finding the Third Proportional to 72.98 and 110.74

Step by Step Solution

1. Step 1: Write the proportion equation
   72.98 : 110.74 = 110.74 : x
2. Step 2: Convert to fraction form
   72.98/110.74 = 110.74/x
3. Step 3: Cross multiply
   72.98x = 110.74 × 110.74
4. Step 4: Simplify right side
   72.98x = 12,263.83
5. Step 5: Solve for x
   x = 12,263.83/72.98
6. Step 6: Final answer
   x = 168.03