Finding the Third Proportional to 40,821 and 83,838

Step by Step Solution

1. Step 1: Write the proportion equation
   40,821 : 83,838 = 83,838 : x
2. Step 2: Convert to fraction form
   40,821/83,838 = 83,838/x
3. Step 3: Cross multiply
   40,821x = 83,838 × 83,838
4. Step 4: Simplify right side
   40,821x = 7,028,810,244
5. Step 5: Solve for x
   x = 7,028,810,244/40,821
6. Step 6: Final answer
   x = 172,186.14