Finding the Third Proportional to 61.52 and 94.96

Step by Step Solution

1. Step 1: Write the proportion equation
   61.52 : 94.96 = 94.96 : x
2. Step 2: Convert to fraction form
   61.52/94.96 = 94.96/x
3. Step 3: Cross multiply
   61.52x = 94.96 × 94.96
4. Step 4: Simplify right side
   61.52x = 9,016.84
5. Step 5: Solve for x
   x = 9,016.84/61.52
6. Step 6: Final answer
   x = 146.56