Finding the Third Proportional to 32.91 and 50.63

Step by Step Solution

1. Step 1: Write the proportion equation
   32.91 : 50.63 = 50.63 : x
2. Step 2: Convert to fraction form
   32.91/50.63 = 50.63/x
3. Step 3: Cross multiply
   32.91x = 50.63 × 50.63
4. Step 4: Simplify right side
   32.91x = 2,562.89
5. Step 5: Solve for x
   x = 2,562.89/32.91
6. Step 6: Final answer
   x = 77.88