Finding the Third Proportional to 22,480 and 47,456

Step by Step Solution

1. Step 1: Write the proportion equation
   22,480 : 47,456 = 47,456 : x
2. Step 2: Convert to fraction form
   22,480/47,456 = 47,456/x
3. Step 3: Cross multiply
   22,480x = 47,456 × 47,456
4. Step 4: Simplify right side
   22,480x = 2,252,071,936
5. Step 5: Solve for x
   x = 2,252,071,936/22,480
6. Step 6: Final answer
   x = 100,181.14