Finding the Third Proportional to 4,464 and 10,522

Step by Step Solution

1. Step 1: Write the proportion equation
   4,464 : 10,522 = 10,522 : x
2. Step 2: Convert to fraction form
   4,464/10,522 = 10,522/x
3. Step 3: Cross multiply
   4,464x = 10,522 × 10,522
4. Step 4: Simplify right side
   4,464x = 110,712,484
5. Step 5: Solve for x
   x = 110,712,484/4,464
6. Step 6: Final answer
   x = 24,801.18