Finding the Third Proportional to 36,002 and 73,468

Step by Step Solution

1. Step 1: Write the proportion equation
   36,002 : 73,468 = 73,468 : x
2. Step 2: Convert to fraction form
   36,002/73,468 = 73,468/x
3. Step 3: Cross multiply
   36,002x = 73,468 × 73,468
4. Step 4: Simplify right side
   36,002x = 5,397,547,024
5. Step 5: Solve for x
   x = 5,397,547,024/36,002
6. Step 6: Final answer
   x = 149,923.53