Finding the Third Proportional to 23.79 and 32.77

Step by Step Solution

1. Step 1: Write the proportion equation
   23.79 : 32.77 = 32.77 : x
2. Step 2: Convert to fraction form
   23.79/32.77 = 32.77/x
3. Step 3: Cross multiply
   23.79x = 32.77 × 32.77
4. Step 4: Simplify right side
   23.79x = 1,073.59
5. Step 5: Solve for x
   x = 1,073.59/23.79
6. Step 6: Final answer
   x = 45.13