Finding the Third Proportional to 6,403 and 13,900

Step by Step Solution

1. Step 1: Write the proportion equation
   6,403 : 13,900 = 13,900 : x
2. Step 2: Convert to fraction form
   6,403/13,900 = 13,900/x
3. Step 3: Cross multiply
   6,403x = 13,900 × 13,900
4. Step 4: Simplify right side
   6,403x = 193,210,000
5. Step 5: Solve for x
   x = 193,210,000/6,403
6. Step 6: Final answer
   x = 30,174.92