Finding the Third Proportional to 31,297 and 65,193

Step by Step Solution

1. Step 1: Write the proportion equation
   31,297 : 65,193 = 65,193 : x
2. Step 2: Convert to fraction form
   31,297/65,193 = 65,193/x
3. Step 3: Cross multiply
   31,297x = 65,193 × 65,193
4. Step 4: Simplify right side
   31,297x = 4,250,127,249
5. Step 5: Solve for x
   x = 4,250,127,249/31,297
6. Step 6: Final answer
   x = 135,799.83