Finding the Third Proportional to 6,384 and 14,900

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384 : 14,900 = 14,900 : x
2. Step 2: Convert to fraction form
   6,384/14,900 = 14,900/x
3. Step 3: Cross multiply
   6,384x = 14,900 × 14,900
4. Step 4: Simplify right side
   6,384x = 222,010,000
5. Step 5: Solve for x
   x = 222,010,000/6,384
6. Step 6: Final answer
   x = 34,776.00