Finding the Third Proportional to 6,292 and 13,754

Step by Step Solution

1. Step 1: Write the proportion equation
   6,292 : 13,754 = 13,754 : x
2. Step 2: Convert to fraction form
   6,292/13,754 = 13,754/x
3. Step 3: Cross multiply
   6,292x = 13,754 × 13,754
4. Step 4: Simplify right side
   6,292x = 189,172,516
5. Step 5: Solve for x
   x = 189,172,516/6,292
6. Step 6: Final answer
   x = 30,065.56