Finding the Third Proportional to 7,826 and 16,298

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 16,298 = 16,298 : x
2. Step 2: Convert to fraction form
   7,826/16,298 = 16,298/x
3. Step 3: Cross multiply
   7,826x = 16,298 × 16,298
4. Step 4: Simplify right side
   7,826x = 265,624,804
5. Step 5: Solve for x
   x = 265,624,804/7,826
6. Step 6: Final answer
   x = 33,941.32