Finding the Third Proportional to 37.97 and 99.42

Step by Step Solution

1. Step 1: Write the proportion equation
   37.97 : 99.42 = 99.42 : x
2. Step 2: Convert to fraction form
   37.97/99.42 = 99.42/x
3. Step 3: Cross multiply
   37.97x = 99.42 × 99.42
4. Step 4: Simplify right side
   37.97x = 9,884.71
5. Step 5: Solve for x
   x = 9,884.71/37.97
6. Step 6: Final answer
   x = 260.34