Finding the Third Proportional to 10,222 and 22,315

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222 : 22,315 = 22,315 : x
2. Step 2: Convert to fraction form
   10,222/22,315 = 22,315/x
3. Step 3: Cross multiply
   10,222x = 22,315 × 22,315
4. Step 4: Simplify right side
   10,222x = 497,959,225
5. Step 5: Solve for x
   x = 497,959,225/10,222
6. Step 6: Final answer
   x = 48,714.46