Finding the Third Proportional to 10,216 and 14,458

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216 : 14,458 = 14,458 : x
2. Step 2: Convert to fraction form
   10,216/14,458 = 14,458/x
3. Step 3: Cross multiply
   10,216x = 14,458 × 14,458
4. Step 4: Simplify right side
   10,216x = 209,033,764
5. Step 5: Solve for x
   x = 209,033,764/10,216
6. Step 6: Final answer
   x = 20,461.41