Finding the Third Proportional to 10,260 and 14,522

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260 : 14,522 = 14,522 : x
2. Step 2: Convert to fraction form
   10,260/14,522 = 14,522/x
3. Step 3: Cross multiply
   10,260x = 14,522 × 14,522
4. Step 4: Simplify right side
   10,260x = 210,888,484
5. Step 5: Solve for x
   x = 210,888,484/10,260
6. Step 6: Final answer
   x = 20,554.43