Finding the Third Proportional to 23,126 and 49,758

Step by Step Solution

1. Step 1: Write the proportion equation
   23,126 : 49,758 = 49,758 : x
2. Step 2: Convert to fraction form
   23,126/49,758 = 49,758/x
3. Step 3: Cross multiply
   23,126x = 49,758 × 49,758
4. Step 4: Simplify right side
   23,126x = 2,475,858,564
5. Step 5: Solve for x
   x = 2,475,858,564/23,126
6. Step 6: Final answer
   x = 107,059.52