Finding the Third Proportional to 10,384 and 14,216

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 14,216 = 14,216 : x
2. Step 2: Convert to fraction form
   10,384/14,216 = 14,216/x
3. Step 3: Cross multiply
   10,384x = 14,216 × 14,216
4. Step 4: Simplify right side
   10,384x = 202,094,656
5. Step 5: Solve for x
   x = 202,094,656/10,384
6. Step 6: Final answer
   x = 19,462.12