Finding the Third Proportional to 32.06 and 49.78

Step by Step Solution

1. Step 1: Write the proportion equation
   32.06 : 49.78 = 49.78 : x
2. Step 2: Convert to fraction form
   32.06/49.78 = 49.78/x
3. Step 3: Cross multiply
   32.06x = 49.78 × 49.78
4. Step 4: Simplify right side
   32.06x = 2,478.17
5. Step 5: Solve for x
   x = 2,478.17/32.06
6. Step 6: Final answer
   x = 77.29