Finding the Third Proportional to 22,646 and 49,180

Step by Step Solution

1. Step 1: Write the proportion equation
   22,646 : 49,180 = 49,180 : x
2. Step 2: Convert to fraction form
   22,646/49,180 = 49,180/x
3. Step 3: Cross multiply
   22,646x = 49,180 × 49,180
4. Step 4: Simplify right side
   22,646x = 2,418,672,400
5. Step 5: Solve for x
   x = 2,418,672,400/22,646
6. Step 6: Final answer
   x = 106,803.51