Finding the Third Proportional to 10,084 and 14,322

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 14,322 = 14,322 : x
2. Step 2: Convert to fraction form
   10,084/14,322 = 14,322/x
3. Step 3: Cross multiply
   10,084x = 14,322 × 14,322
4. Step 4: Simplify right side
   10,084x = 205,119,684
5. Step 5: Solve for x
   x = 205,119,684/10,084
6. Step 6: Final answer
   x = 20,341.10