Finding the Third Proportional to 37.09 and 55.53

Step by Step Solution

1. Step 1: Write the proportion equation
   37.09 : 55.53 = 55.53 : x
2. Step 2: Convert to fraction form
   37.09/55.53 = 55.53/x
3. Step 3: Cross multiply
   37.09x = 55.53 × 55.53
4. Step 4: Simplify right side
   37.09x = 3,083.72
5. Step 5: Solve for x
   x = 3,083.72/37.09
6. Step 6: Final answer
   x = 83.13