Finding the Third Proportional to 6,269 and 13,774

Step by Step Solution

1. Step 1: Write the proportion equation
   6,269 : 13,774 = 13,774 : x
2. Step 2: Convert to fraction form
   6,269/13,774 = 13,774/x
3. Step 3: Cross multiply
   6,269x = 13,774 × 13,774
4. Step 4: Simplify right side
   6,269x = 189,723,076
5. Step 5: Solve for x
   x = 189,723,076/6,269
6. Step 6: Final answer
   x = 30,263.69