Finding the Third Proportional to 37.68 and 59.52

Step by Step Solution

1. Step 1: Write the proportion equation
   37.68 : 59.52 = 59.52 : x
2. Step 2: Convert to fraction form
   37.68/59.52 = 59.52/x
3. Step 3: Cross multiply
   37.68x = 59.52 × 59.52
4. Step 4: Simplify right side
   37.68x = 3,542.05
5. Step 5: Solve for x
   x = 3,542.05/37.68
6. Step 6: Final answer
   x = 94.02