Finding the Third Proportional to 10,940 and 14,406

Step by Step Solution

1. Step 1: Write the proportion equation
   10,940 : 14,406 = 14,406 : x
2. Step 2: Convert to fraction form
   10,940/14,406 = 14,406/x
3. Step 3: Cross multiply
   10,940x = 14,406 × 14,406
4. Step 4: Simplify right side
   10,940x = 207,532,836
5. Step 5: Solve for x
   x = 207,532,836/10,940
6. Step 6: Final answer
   x = 18,970.09