Finding the Third Proportional to 75.38 and 101.25

Step by Step Solution

1. Step 1: Write the proportion equation
   75.38 : 101.25 = 101.25 : x
2. Step 2: Convert to fraction form
   75.38/101.25 = 101.25/x
3. Step 3: Cross multiply
   75.38x = 101.25 × 101.25
4. Step 4: Simplify right side
   75.38x = 10,251.56
5. Step 5: Solve for x
   x = 10,251.56/75.38
6. Step 6: Final answer
   x = 136.01