Finding the Third Proportional to 36,266 and 76,886

Step by Step Solution

1. Step 1: Write the proportion equation
   36,266 : 76,886 = 76,886 : x
2. Step 2: Convert to fraction form
   36,266/76,886 = 76,886/x
3. Step 3: Cross multiply
   36,266x = 76,886 × 76,886
4. Step 4: Simplify right side
   36,266x = 5,911,456,996
5. Step 5: Solve for x
   x = 5,911,456,996/36,266
6. Step 6: Final answer
   x = 163,002.73