Finding the Third Proportional to 37,088 and 80,002

Step by Step Solution

1. Step 1: Write the proportion equation
   37,088 : 80,002 = 80,002 : x
2. Step 2: Convert to fraction form
   37,088/80,002 = 80,002/x
3. Step 3: Cross multiply
   37,088x = 80,002 × 80,002
4. Step 4: Simplify right side
   37,088x = 6,400,320,004
5. Step 5: Solve for x
   x = 6,400,320,004/37,088
6. Step 6: Final answer
   x = 172,571.18