Finding the Third Proportional to 23.77 and 52.03

Step by Step Solution

1. Step 1: Write the proportion equation
   23.77 : 52.03 = 52.03 : x
2. Step 2: Convert to fraction form
   23.77/52.03 = 52.03/x
3. Step 3: Cross multiply
   23.77x = 52.03 × 52.03
4. Step 4: Simplify right side
   23.77x = 2,707.25
5. Step 5: Solve for x
   x = 2,707.25/23.77
6. Step 6: Final answer
   x = 113.91