Finding the Third Proportional to 37,809 and 80,586

Step by Step Solution

1. Step 1: Write the proportion equation
   37,809 : 80,586 = 80,586 : x
2. Step 2: Convert to fraction form
   37,809/80,586 = 80,586/x
3. Step 3: Cross multiply
   37,809x = 80,586 × 80,586
4. Step 4: Simplify right side
   37,809x = 6,494,103,396
5. Step 5: Solve for x
   x = 6,494,103,396/37,809
6. Step 6: Final answer
   x = 171,760.78