Finding the Third Proportional to 37,881 and 80,622

Step by Step Solution

1. Step 1: Write the proportion equation
   37,881 : 80,622 = 80,622 : x
2. Step 2: Convert to fraction form
   37,881/80,622 = 80,622/x
3. Step 3: Cross multiply
   37,881x = 80,622 × 80,622
4. Step 4: Simplify right side
   37,881x = 6,499,906,884
5. Step 5: Solve for x
   x = 6,499,906,884/37,881
6. Step 6: Final answer
   x = 171,587.52