Finding the Third Proportional to 36,002 and 78,502

Step by Step Solution

1. Step 1: Write the proportion equation
   36,002 : 78,502 = 78,502 : x
2. Step 2: Convert to fraction form
   36,002/78,502 = 78,502/x
3. Step 3: Cross multiply
   36,002x = 78,502 × 78,502
4. Step 4: Simplify right side
   36,002x = 6,162,564,004
5. Step 5: Solve for x
   x = 6,162,564,004/36,002
6. Step 6: Final answer
   x = 171,172.82