Finding the Third Proportional to 35,821 and 76,928

Step by Step Solution

1. Step 1: Write the proportion equation
   35,821 : 76,928 = 76,928 : x
2. Step 2: Convert to fraction form
   35,821/76,928 = 76,928/x
3. Step 3: Cross multiply
   35,821x = 76,928 × 76,928
4. Step 4: Simplify right side
   35,821x = 5,917,917,184
5. Step 5: Solve for x
   x = 5,917,917,184/35,821
6. Step 6: Final answer
   x = 165,208.04