Finding the Third Proportional to 57.56 and 101.38

Step by Step Solution

1. Step 1: Write the proportion equation
   57.56 : 101.38 = 101.38 : x
2. Step 2: Convert to fraction form
   57.56/101.38 = 101.38/x
3. Step 3: Cross multiply
   57.56x = 101.38 × 101.38
4. Step 4: Simplify right side
   57.56x = 10,276.89
5. Step 5: Solve for x
   x = 10,276.89/57.56
6. Step 6: Final answer
   x = 178.53