Finding the Third Proportional to 6,304 and 13,850

Step by Step Solution

1. Step 1: Write the proportion equation
   6,304 : 13,850 = 13,850 : x
2. Step 2: Convert to fraction form
   6,304/13,850 = 13,850/x
3. Step 3: Cross multiply
   6,304x = 13,850 × 13,850
4. Step 4: Simplify right side
   6,304x = 191,822,500
5. Step 5: Solve for x
   x = 191,822,500/6,304
6. Step 6: Final answer
   x = 30,428.70