Finding the Third Proportional to 23,820 and 52,311

Step by Step Solution

1. Step 1: Write the proportion equation
   23,820 : 52,311 = 52,311 : x
2. Step 2: Convert to fraction form
   23,820/52,311 = 52,311/x
3. Step 3: Cross multiply
   23,820x = 52,311 × 52,311
4. Step 4: Simplify right side
   23,820x = 2,736,440,721
5. Step 5: Solve for x
   x = 2,736,440,721/23,820
6. Step 6: Final answer
   x = 114,879.96