Finding the Third Proportional to 35,382 and 83,406

Step by Step Solution

1. Step 1: Write the proportion equation
   35,382 : 83,406 = 83,406 : x
2. Step 2: Convert to fraction form
   35,382/83,406 = 83,406/x
3. Step 3: Cross multiply
   35,382x = 83,406 × 83,406
4. Step 4: Simplify right side
   35,382x = 6,956,560,836
5. Step 5: Solve for x
   x = 6,956,560,836/35,382
6. Step 6: Final answer
   x = 196,612.99