Finding the Third Proportional to 72.94 and 101.78

Step by Step Solution

1. Step 1: Write the proportion equation
   72.94 : 101.78 = 101.78 : x
2. Step 2: Convert to fraction form
   72.94/101.78 = 101.78/x
3. Step 3: Cross multiply
   72.94x = 101.78 × 101.78
4. Step 4: Simplify right side
   72.94x = 10,359.42
5. Step 5: Solve for x
   x = 10,359.42/72.94
6. Step 6: Final answer
   x = 142.03