Finding the Third Proportional to 35,942 and 83,929

Step by Step Solution

1. Step 1: Write the proportion equation
   35,942 : 83,929 = 83,929 : x
2. Step 2: Convert to fraction form
   35,942/83,929 = 83,929/x
3. Step 3: Cross multiply
   35,942x = 83,929 × 83,929
4. Step 4: Simplify right side
   35,942x = 7,044,077,041
5. Step 5: Solve for x
   x = 7,044,077,041/35,942
6. Step 6: Final answer
   x = 195,984.56