Finding the Third Proportional to 35,930 and 83,899

Step by Step Solution

1. Step 1: Write the proportion equation
   35,930 : 83,899 = 83,899 : x
2. Step 2: Convert to fraction form
   35,930/83,899 = 83,899/x
3. Step 3: Cross multiply
   35,930x = 83,899 × 83,899
4. Step 4: Simplify right side
   35,930x = 7,039,042,201
5. Step 5: Solve for x
   x = 7,039,042,201/35,930
6. Step 6: Final answer
   x = 195,909.89