Finding the Third Proportional to 37.60 and 52.55

Step by Step Solution

1. Step 1: Write the proportion equation
   37.60 : 52.55 = 52.55 : x
2. Step 2: Convert to fraction form
   37.60/52.55 = 52.55/x
3. Step 3: Cross multiply
   37.60x = 52.55 × 52.55
4. Step 4: Simplify right side
   37.60x = 2,761.27
5. Step 5: Solve for x
   x = 2,761.27/37.60
6. Step 6: Final answer
   x = 73.43