Finding the Third Proportional to 36,567 and 78,662

Step by Step Solution

1. Step 1: Write the proportion equation
   36,567 : 78,662 = 78,662 : x
2. Step 2: Convert to fraction form
   36,567/78,662 = 78,662/x
3. Step 3: Cross multiply
   36,567x = 78,662 × 78,662
4. Step 4: Simplify right side
   36,567x = 6,187,710,244
5. Step 5: Solve for x
   x = 6,187,710,244/36,567
6. Step 6: Final answer
   x = 169,215.69