Finding the Third Proportional to 10,284 and 14,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,284 : 14,846 = 14,846 : x
2. Step 2: Convert to fraction form
   10,284/14,846 = 14,846/x
3. Step 3: Cross multiply
   10,284x = 14,846 × 14,846
4. Step 4: Simplify right side
   10,284x = 220,403,716
5. Step 5: Solve for x
   x = 220,403,716/10,284
6. Step 6: Final answer
   x = 21,431.71