Finding the Third Proportional to 72.38 and 106.88

Step by Step Solution

1. Step 1: Write the proportion equation
   72.38 : 106.88 = 106.88 : x
2. Step 2: Convert to fraction form
   72.38/106.88 = 106.88/x
3. Step 3: Cross multiply
   72.38x = 106.88 × 106.88
4. Step 4: Simplify right side
   72.38x = 11,422.27
5. Step 5: Solve for x
   x = 11,422.27/72.38
6. Step 6: Final answer
   x = 157.82