Finding the Third Proportional to 6,292 and 13,780

Step by Step Solution

1. Step 1: Write the proportion equation
   6,292 : 13,780 = 13,780 : x
2. Step 2: Convert to fraction form
   6,292/13,780 = 13,780/x
3. Step 3: Cross multiply
   6,292x = 13,780 × 13,780
4. Step 4: Simplify right side
   6,292x = 189,888,400
5. Step 5: Solve for x
   x = 189,888,400/6,292
6. Step 6: Final answer
   x = 30,179.34