Finding the Third Proportional to 31,298 and 69,593

Step by Step Solution

1. Step 1: Write the proportion equation
   31,298 : 69,593 = 69,593 : x
2. Step 2: Convert to fraction form
   31,298/69,593 = 69,593/x
3. Step 3: Cross multiply
   31,298x = 69,593 × 69,593
4. Step 4: Simplify right side
   31,298x = 4,843,185,649
5. Step 5: Solve for x
   x = 4,843,185,649/31,298
6. Step 6: Final answer
   x = 154,744.25