Finding the Third Proportional to 31,302 and 65,192

Step by Step Solution

1. Step 1: Write the proportion equation
   31,302 : 65,192 = 65,192 : x
2. Step 2: Convert to fraction form
   31,302/65,192 = 65,192/x
3. Step 3: Cross multiply
   31,302x = 65,192 × 65,192
4. Step 4: Simplify right side
   31,302x = 4,249,996,864
5. Step 5: Solve for x
   x = 4,249,996,864/31,302
6. Step 6: Final answer
   x = 135,773.97