Finding the Third Proportional to 22,766 and 49,274

Step by Step Solution

1. Step 1: Write the proportion equation
   22,766 : 49,274 = 49,274 : x
2. Step 2: Convert to fraction form
   22,766/49,274 = 49,274/x
3. Step 3: Cross multiply
   22,766x = 49,274 × 49,274
4. Step 4: Simplify right side
   22,766x = 2,427,927,076
5. Step 5: Solve for x
   x = 2,427,927,076/22,766
6. Step 6: Final answer
   x = 106,647.06