Finding the Third Proportional to 22,276 and 52,774

Step by Step Solution

1. Step 1: Write the proportion equation
   22,276 : 52,774 = 52,774 : x
2. Step 2: Convert to fraction form
   22,276/52,774 = 52,774/x
3. Step 3: Cross multiply
   22,276x = 52,774 × 52,774
4. Step 4: Simplify right side
   22,276x = 2,785,095,076
5. Step 5: Solve for x
   x = 2,785,095,076/22,276
6. Step 6: Final answer
   x = 125,026.71