Finding the Third Proportional to 36,217 and 76,780

Step by Step Solution

1. Step 1: Write the proportion equation
   36,217 : 76,780 = 76,780 : x
2. Step 2: Convert to fraction form
   36,217/76,780 = 76,780/x
3. Step 3: Cross multiply
   36,217x = 76,780 × 76,780
4. Step 4: Simplify right side
   36,217x = 5,895,168,400
5. Step 5: Solve for x
   x = 5,895,168,400/36,217
6. Step 6: Final answer
   x = 162,773.52