Finding the Third Proportional to 22,645 and 49,771

Step by Step Solution

1. Step 1: Write the proportion equation
   22,645 : 49,771 = 49,771 : x
2. Step 2: Convert to fraction form
   22,645/49,771 = 49,771/x
3. Step 3: Cross multiply
   22,645x = 49,771 × 49,771
4. Step 4: Simplify right side
   22,645x = 2,477,152,441
5. Step 5: Solve for x
   x = 2,477,152,441/22,645
6. Step 6: Final answer
   x = 109,390.70