Finding the Third Proportional to 37,606 and 80,396

Step by Step Solution

1. Step 1: Write the proportion equation
   37,606 : 80,396 = 80,396 : x
2. Step 2: Convert to fraction form
   37,606/80,396 = 80,396/x
3. Step 3: Cross multiply
   37,606x = 80,396 × 80,396
4. Step 4: Simplify right side
   37,606x = 6,463,516,816
5. Step 5: Solve for x
   x = 6,463,516,816/37,606
6. Step 6: Final answer
   x = 171,874.62