Finding the Third Proportional to 35,926 and 83,921

Step by Step Solution

1. Step 1: Write the proportion equation
   35,926 : 83,921 = 83,921 : x
2. Step 2: Convert to fraction form
   35,926/83,921 = 83,921/x
3. Step 3: Cross multiply
   35,926x = 83,921 × 83,921
4. Step 4: Simplify right side
   35,926x = 7,042,734,241
5. Step 5: Solve for x
   x = 7,042,734,241/35,926
6. Step 6: Final answer
   x = 196,034.47