Finding the Third Proportional to 22,616 and 49,123

Step by Step Solution

1. Step 1: Write the proportion equation
   22,616 : 49,123 = 49,123 : x
2. Step 2: Convert to fraction form
   22,616/49,123 = 49,123/x
3. Step 3: Cross multiply
   22,616x = 49,123 × 49,123
4. Step 4: Simplify right side
   22,616x = 2,413,069,129
5. Step 5: Solve for x
   x = 2,413,069,129/22,616
6. Step 6: Final answer
   x = 106,697.43