Finding the Third Proportional to 32.70 and 50.46

Step by Step Solution

1. Step 1: Write the proportion equation
   32.70 : 50.46 = 50.46 : x
2. Step 2: Convert to fraction form
   32.70/50.46 = 50.46/x
3. Step 3: Cross multiply
   32.70x = 50.46 × 50.46
4. Step 4: Simplify right side
   32.70x = 2,546.31
5. Step 5: Solve for x
   x = 2,546.31/32.70
6. Step 6: Final answer
   x = 77.88