Finding the Third Proportional to 10,380 and 14,842

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 14,842 = 14,842 : x
2. Step 2: Convert to fraction form
   10,380/14,842 = 14,842/x
3. Step 3: Cross multiply
   10,380x = 14,842 × 14,842
4. Step 4: Simplify right side
   10,380x = 220,284,964
5. Step 5: Solve for x
   x = 220,284,964/10,380
6. Step 6: Final answer
   x = 21,222.06