Finding the Third Proportional to 10,380 and 22,522

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 22,522 = 22,522 : x
2. Step 2: Convert to fraction form
   10,380/22,522 = 22,522/x
3. Step 3: Cross multiply
   10,380x = 22,522 × 22,522
4. Step 4: Simplify right side
   10,380x = 507,240,484
5. Step 5: Solve for x
   x = 507,240,484/10,380
6. Step 6: Final answer
   x = 48,867.10