Finding the Third Proportional to 31,295 and 65,189

Step by Step Solution

1. Step 1: Write the proportion equation
   31,295 : 65,189 = 65,189 : x
2. Step 2: Convert to fraction form
   31,295/65,189 = 65,189/x
3. Step 3: Cross multiply
   31,295x = 65,189 × 65,189
4. Step 4: Simplify right side
   31,295x = 4,249,605,721
5. Step 5: Solve for x
   x = 4,249,605,721/31,295
6. Step 6: Final answer
   x = 135,791.84