Finding the Third Proportional to 36,144 and 76,662

Step by Step Solution

1. Step 1: Write the proportion equation
   36,144 : 76,662 = 76,662 : x
2. Step 2: Convert to fraction form
   36,144/76,662 = 76,662/x
3. Step 3: Cross multiply
   36,144x = 76,662 × 76,662
4. Step 4: Simplify right side
   36,144x = 5,877,062,244
5. Step 5: Solve for x
   x = 5,877,062,244/36,144
6. Step 6: Final answer
   x = 162,601.32