Finding the Third Proportional to 35,140 and 83,994

Step by Step Solution

1. Step 1: Write the proportion equation
   35,140 : 83,994 = 83,994 : x
2. Step 2: Convert to fraction form
   35,140/83,994 = 83,994/x
3. Step 3: Cross multiply
   35,140x = 83,994 × 83,994
4. Step 4: Simplify right side
   35,140x = 7,054,992,036
5. Step 5: Solve for x
   x = 7,054,992,036/35,140
6. Step 6: Final answer
   x = 200,768.13