Finding the Third Proportional to 10,780 and 14,552

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 14,552 = 14,552 : x
2. Step 2: Convert to fraction form
   10,780/14,552 = 14,552/x
3. Step 3: Cross multiply
   10,780x = 14,552 × 14,552
4. Step 4: Simplify right side
   10,780x = 211,760,704
5. Step 5: Solve for x
   x = 211,760,704/10,780
6. Step 6: Final answer
   x = 19,643.85