Finding the Third Proportional to 37.97 and 59.48

Step by Step Solution

1. Step 1: Write the proportion equation
   37.97 : 59.48 = 59.48 : x
2. Step 2: Convert to fraction form
   37.97/59.48 = 59.48/x
3. Step 3: Cross multiply
   37.97x = 59.48 × 59.48
4. Step 4: Simplify right side
   37.97x = 3,538.39
5. Step 5: Solve for x
   x = 3,538.39/37.97
6. Step 6: Final answer
   x = 93.19