Finding the Third Proportional to 31,754 and 65,142

Step by Step Solution

1. Step 1: Write the proportion equation
   31,754 : 65,142 = 65,142 : x
2. Step 2: Convert to fraction form
   31,754/65,142 = 65,142/x
3. Step 3: Cross multiply
   31,754x = 65,142 × 65,142
4. Step 4: Simplify right side
   31,754x = 4,243,480,164
5. Step 5: Solve for x
   x = 4,243,480,164/31,754
6. Step 6: Final answer
   x = 133,636.08