Finding the Third Proportional to 61.56 and 95.38

Step by Step Solution

1. Step 1: Write the proportion equation
   61.56 : 95.38 = 95.38 : x
2. Step 2: Convert to fraction form
   61.56/95.38 = 95.38/x
3. Step 3: Cross multiply
   61.56x = 95.38 × 95.38
4. Step 4: Simplify right side
   61.56x = 9,096.39
5. Step 5: Solve for x
   x = 9,096.39/61.56
6. Step 6: Final answer
   x = 147.76