Finding the Third Proportional to 37.69 and 57.47

Step by Step Solution

1. Step 1: Write the proportion equation
   37.69 : 57.47 = 57.47 : x
2. Step 2: Convert to fraction form
   37.69/57.47 = 57.47/x
3. Step 3: Cross multiply
   37.69x = 57.47 × 57.47
4. Step 4: Simplify right side
   37.69x = 3,302.66
5. Step 5: Solve for x
   x = 3,302.66/37.69
6. Step 6: Final answer
   x = 87.63