Finding the Third Proportional to 8,216 and 17,458

Step by Step Solution

1. Step 1: Write the proportion equation
   8,216 : 17,458 = 17,458 : x
2. Step 2: Convert to fraction form
   8,216/17,458 = 17,458/x
3. Step 3: Cross multiply
   8,216x = 17,458 × 17,458
4. Step 4: Simplify right side
   8,216x = 304,781,764
5. Step 5: Solve for x
   x = 304,781,764/8,216
6. Step 6: Final answer
   x = 37,096.13