Finding the Third Proportional to 37.55 and 59.53

Step by Step Solution

1. Step 1: Write the proportion equation
   37.55 : 59.53 = 59.53 : x
2. Step 2: Convert to fraction form
   37.55/59.53 = 59.53/x
3. Step 3: Cross multiply
   37.55x = 59.53 × 59.53
4. Step 4: Simplify right side
   37.55x = 3,543.97
5. Step 5: Solve for x
   x = 3,543.97/37.55
6. Step 6: Final answer
   x = 94.39