Finding the Third Proportional to 37.38 and 61.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37.38 : 61.69 = 61.69 : x
2. Step 2: Convert to fraction form
   37.38/61.69 = 61.69/x
3. Step 3: Cross multiply
   37.38x = 61.69 × 61.69
4. Step 4: Simplify right side
   37.38x = 3,805.35
5. Step 5: Solve for x
   x = 3,805.35/37.38
6. Step 6: Final answer
   x = 101.82