Finding the Third Proportional to 31,302 and 65,190

Step by Step Solution

1. Step 1: Write the proportion equation
   31,302 : 65,190 = 65,190 : x
2. Step 2: Convert to fraction form
   31,302/65,190 = 65,190/x
3. Step 3: Cross multiply
   31,302x = 65,190 × 65,190
4. Step 4: Simplify right side
   31,302x = 4,249,736,100
5. Step 5: Solve for x
   x = 4,249,736,100/31,302
6. Step 6: Final answer
   x = 135,765.64