Finding the Third Proportional to 23,114 and 49,495

Step by Step Solution

1. Step 1: Write the proportion equation
   23,114 : 49,495 = 49,495 : x
2. Step 2: Convert to fraction form
   23,114/49,495 = 49,495/x
3. Step 3: Cross multiply
   23,114x = 49,495 × 49,495
4. Step 4: Simplify right side
   23,114x = 2,449,755,025
5. Step 5: Solve for x
   x = 2,449,755,025/23,114
6. Step 6: Final answer
   x = 105,985.77