Finding the Third Proportional to 23.77 and 56.04

Step by Step Solution

1. Step 1: Write the proportion equation
   23.77 : 56.04 = 56.04 : x
2. Step 2: Convert to fraction form
   23.77/56.04 = 56.04/x
3. Step 3: Cross multiply
   23.77x = 56.04 × 56.04
4. Step 4: Simplify right side
   23.77x = 3,140.38
5. Step 5: Solve for x
   x = 3,140.38/23.77
6. Step 6: Final answer
   x = 132.14