Finding the Third Proportional to 72.14 and 101.57

Step by Step Solution

1. Step 1: Write the proportion equation
   72.14 : 101.57 = 101.57 : x
2. Step 2: Convert to fraction form
   72.14/101.57 = 101.57/x
3. Step 3: Cross multiply
   72.14x = 101.57 × 101.57
4. Step 4: Simplify right side
   72.14x = 10,315.73
5. Step 5: Solve for x
   x = 10,315.73/72.14
6. Step 6: Final answer
   x = 142.99