Finding the Third Proportional to 36,212 and 76,798

Step by Step Solution

1. Step 1: Write the proportion equation
   36,212 : 76,798 = 76,798 : x
2. Step 2: Convert to fraction form
   36,212/76,798 = 76,798/x
3. Step 3: Cross multiply
   36,212x = 76,798 × 76,798
4. Step 4: Simplify right side
   36,212x = 5,897,932,804
5. Step 5: Solve for x
   x = 5,897,932,804/36,212
6. Step 6: Final answer
   x = 162,872.33