Finding the Third Proportional to 35,978 and 84,033

Step by Step Solution

1. Step 1: Write the proportion equation
   35,978 : 84,033 = 84,033 : x
2. Step 2: Convert to fraction form
   35,978/84,033 = 84,033/x
3. Step 3: Cross multiply
   35,978x = 84,033 × 84,033
4. Step 4: Simplify right side
   35,978x = 7,061,545,089
5. Step 5: Solve for x
   x = 7,061,545,089/35,978
6. Step 6: Final answer
   x = 196,273.98