Finding the Third Proportional to 8,233 and 17,870

Step by Step Solution

1. Step 1: Write the proportion equation
   8,233 : 17,870 = 17,870 : x
2. Step 2: Convert to fraction form
   8,233/17,870 = 17,870/x
3. Step 3: Cross multiply
   8,233x = 17,870 × 17,870
4. Step 4: Simplify right side
   8,233x = 319,336,900
5. Step 5: Solve for x
   x = 319,336,900/8,233
6. Step 6: Final answer
   x = 38,787.43