Finding the Third Proportional to 75.94 and 102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   75.94 : 102.52 = 102.52 : x
2. Step 2: Convert to fraction form
   75.94/102.52 = 102.52/x
3. Step 3: Cross multiply
   75.94x = 102.52 × 102.52
4. Step 4: Simplify right side
   75.94x = 10,509.45
5. Step 5: Solve for x
   x = 10,509.45/75.94
6. Step 6: Final answer
   x = 138.40