Finding the Third Proportional to 23,166 and 49,842

Step by Step Solution

1. Step 1: Write the proportion equation
   23,166 : 49,842 = 49,842 : x
2. Step 2: Convert to fraction form
   23,166/49,842 = 49,842/x
3. Step 3: Cross multiply
   23,166x = 49,842 × 49,842
4. Step 4: Simplify right side
   23,166x = 2,484,224,964
5. Step 5: Solve for x
   x = 2,484,224,964/23,166
6. Step 6: Final answer
   x = 107,235.82