Finding the Third Proportional to 72.38 and 101.05

Step by Step Solution

1. Step 1: Write the proportion equation
   72.38 : 101.05 = 101.05 : x
2. Step 2: Convert to fraction form
   72.38/101.05 = 101.05/x
3. Step 3: Cross multiply
   72.38x = 101.05 × 101.05
4. Step 4: Simplify right side
   72.38x = 10,211.56
5. Step 5: Solve for x
   x = 10,211.56/72.38
6. Step 6: Final answer
   x = 141.09