Finding the Third Proportional to 13,826 and 31,298

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 31,298 = 31,298 : x
2. Step 2: Convert to fraction form
   13,826/31,298 = 31,298/x
3. Step 3: Cross multiply
   13,826x = 31,298 × 31,298
4. Step 4: Simplify right side
   13,826x = 979,564,804
5. Step 5: Solve for x
   x = 979,564,804/13,826
6. Step 6: Final answer
   x = 70,849.47