Finding the Third Proportional to 37,812 and 80,406

Step by Step Solution

1. Step 1: Write the proportion equation
   37,812 : 80,406 = 80,406 : x
2. Step 2: Convert to fraction form
   37,812/80,406 = 80,406/x
3. Step 3: Cross multiply
   37,812x = 80,406 × 80,406
4. Step 4: Simplify right side
   37,812x = 6,465,124,836
5. Step 5: Solve for x
   x = 6,465,124,836/37,812
6. Step 6: Final answer
   x = 170,980.77