Finding the Third Proportional to 8,298 and 12,693

Step by Step Solution

1. Step 1: Write the proportion equation
   8,298 : 12,693 = 12,693 : x
2. Step 2: Convert to fraction form
   8,298/12,693 = 12,693/x
3. Step 3: Cross multiply
   8,298x = 12,693 × 12,693
4. Step 4: Simplify right side
   8,298x = 161,112,249
5. Step 5: Solve for x
   x = 161,112,249/8,298
6. Step 6: Final answer
   x = 19,415.79