Finding the Third Proportional to 37,002 and 80,772

Step by Step Solution

1. Step 1: Write the proportion equation
   37,002 : 80,772 = 80,772 : x
2. Step 2: Convert to fraction form
   37,002/80,772 = 80,772/x
3. Step 3: Cross multiply
   37,002x = 80,772 × 80,772
4. Step 4: Simplify right side
   37,002x = 6,524,115,984
5. Step 5: Solve for x
   x = 6,524,115,984/37,002
6. Step 6: Final answer
   x = 176,317.93