Finding the Third Proportional to 37.55 and 57.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37.55 : 57.69 = 57.69 : x
2. Step 2: Convert to fraction form
   37.55/57.69 = 57.69/x
3. Step 3: Cross multiply
   37.55x = 57.69 × 57.69
4. Step 4: Simplify right side
   37.55x = 3,328.30
5. Step 5: Solve for x
   x = 3,328.30/37.55
6. Step 6: Final answer
   x = 88.64