Finding the Third Proportional to 37.20 and 61.21

Step by Step Solution

1. Step 1: Write the proportion equation
   37.20 : 61.21 = 61.21 : x
2. Step 2: Convert to fraction form
   37.20/61.21 = 61.21/x
3. Step 3: Cross multiply
   37.20x = 61.21 × 61.21
4. Step 4: Simplify right side
   37.20x = 3,746.30
5. Step 5: Solve for x
   x = 3,746.30/37.20
6. Step 6: Final answer
   x = 100.72