Finding the Third Proportional to 5,643 and 12,357

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643 : 12,357 = 12,357 : x
2. Step 2: Convert to fraction form
   5,643/12,357 = 12,357/x
3. Step 3: Cross multiply
   5,643x = 12,357 × 12,357
4. Step 4: Simplify right side
   5,643x = 152,695,449
5. Step 5: Solve for x
   x = 152,695,449/5,643
6. Step 6: Final answer
   x = 27,059.27