Finding the Third Proportional to 23,846 and 52,362

Step by Step Solution

1. Step 1: Write the proportion equation
   23,846 : 52,362 = 52,362 : x
2. Step 2: Convert to fraction form
   23,846/52,362 = 52,362/x
3. Step 3: Cross multiply
   23,846x = 52,362 × 52,362
4. Step 4: Simplify right side
   23,846x = 2,741,779,044
5. Step 5: Solve for x
   x = 2,741,779,044/23,846
6. Step 6: Final answer
   x = 114,978.57