Finding the Third Proportional to 23,823 and 52,092

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 52,092 = 52,092 : x
2. Step 2: Convert to fraction form
   23,823/52,092 = 52,092/x
3. Step 3: Cross multiply
   23,823x = 52,092 × 52,092
4. Step 4: Simplify right side
   23,823x = 2,713,576,464
5. Step 5: Solve for x
   x = 2,713,576,464/23,823
6. Step 6: Final answer
   x = 113,905.74