Finding the Third Proportional to 13,182 and 14,298

Step by Step Solution

1. Step 1: Write the proportion equation
   13,182 : 14,298 = 14,298 : x
2. Step 2: Convert to fraction form
   13,182/14,298 = 14,298/x
3. Step 3: Cross multiply
   13,182x = 14,298 × 14,298
4. Step 4: Simplify right side
   13,182x = 204,432,804
5. Step 5: Solve for x
   x = 204,432,804/13,182
6. Step 6: Final answer
   x = 15,508.48