Finding the Third Proportional to 23,771 and 52,078

Step by Step Solution

1. Step 1: Write the proportion equation
   23,771 : 52,078 = 52,078 : x
2. Step 2: Convert to fraction form
   23,771/52,078 = 52,078/x
3. Step 3: Cross multiply
   23,771x = 52,078 × 52,078
4. Step 4: Simplify right side
   23,771x = 2,712,118,084
5. Step 5: Solve for x
   x = 2,712,118,084/23,771
6. Step 6: Final answer
   x = 114,093.56