Finding the Third Proportional to 10,284 and 22,410

Step by Step Solution

1. Step 1: Write the proportion equation
   10,284 : 22,410 = 22,410 : x
2. Step 2: Convert to fraction form
   10,284/22,410 = 22,410/x
3. Step 3: Cross multiply
   10,284x = 22,410 × 22,410
4. Step 4: Simplify right side
   10,284x = 502,208,100
5. Step 5: Solve for x
   x = 502,208,100/10,284
6. Step 6: Final answer
   x = 48,833.93