Finding the Third Proportional to 74.06 and 110.72

Step by Step Solution

1. Step 1: Write the proportion equation
   74.06 : 110.72 = 110.72 : x
2. Step 2: Convert to fraction form
   74.06/110.72 = 110.72/x
3. Step 3: Cross multiply
   74.06x = 110.72 × 110.72
4. Step 4: Simplify right side
   74.06x = 12,258.64
5. Step 5: Solve for x
   x = 12,258.64/74.06
6. Step 6: Final answer
   x = 165.52