Finding the Third Proportional to 10,780 and 14,488

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 14,488 = 14,488 : x
2. Step 2: Convert to fraction form
   10,780/14,488 = 14,488/x
3. Step 3: Cross multiply
   10,780x = 14,488 × 14,488
4. Step 4: Simplify right side
   10,780x = 209,902,144
5. Step 5: Solve for x
   x = 209,902,144/10,780
6. Step 6: Final answer
   x = 19,471.44