Finding the Third Proportional to 72.38 and 110.06

Step by Step Solution

1. Step 1: Write the proportion equation
   72.38 : 110.06 = 110.06 : x
2. Step 2: Convert to fraction form
   72.38/110.06 = 110.06/x
3. Step 3: Cross multiply
   72.38x = 110.06 × 110.06
4. Step 4: Simplify right side
   72.38x = 12,113.75
5. Step 5: Solve for x
   x = 12,113.75/72.38
6. Step 6: Final answer
   x = 167.37