Finding the Third Proportional to 30,870 and 65,142

Step by Step Solution

1. Step 1: Write the proportion equation
   30,870 : 65,142 = 65,142 : x
2. Step 2: Convert to fraction form
   30,870/65,142 = 65,142/x
3. Step 3: Cross multiply
   30,870x = 65,142 × 65,142
4. Step 4: Simplify right side
   30,870x = 4,243,480,164
5. Step 5: Solve for x
   x = 4,243,480,164/30,870
6. Step 6: Final answer
   x = 137,462.91