Finding the Third Proportional to 30,942 and 65,412

Step by Step Solution

1. Step 1: Write the proportion equation
   30,942 : 65,412 = 65,412 : x
2. Step 2: Convert to fraction form
   30,942/65,412 = 65,412/x
3. Step 3: Cross multiply
   30,942x = 65,412 × 65,412
4. Step 4: Simplify right side
   30,942x = 4,278,729,744
5. Step 5: Solve for x
   x = 4,278,729,744/30,942
6. Step 6: Final answer
   x = 138,282.26