Finding the Third Proportional to 22,192 and 46,884

Step by Step Solution

1. Step 1: Write the proportion equation
   22,192 : 46,884 = 46,884 : x
2. Step 2: Convert to fraction form
   22,192/46,884 = 46,884/x
3. Step 3: Cross multiply
   22,192x = 46,884 × 46,884
4. Step 4: Simplify right side
   22,192x = 2,198,109,456
5. Step 5: Solve for x
   x = 2,198,109,456/22,192
6. Step 6: Final answer
   x = 99,049.63