Finding the Third Proportional to 38.25 and 61.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38.25 : 61.69 = 61.69 : x
2. Step 2: Convert to fraction form
   38.25/61.69 = 61.69/x
3. Step 3: Cross multiply
   38.25x = 61.69 × 61.69
4. Step 4: Simplify right side
   38.25x = 3,805.35
5. Step 5: Solve for x
   x = 3,805.35/38.25
6. Step 6: Final answer
   x = 99.49