Finding the Third Proportional to 37,314 and 80,644

Step by Step Solution

1. Step 1: Write the proportion equation
   37,314 : 80,644 = 80,644 : x
2. Step 2: Convert to fraction form
   37,314/80,644 = 80,644/x
3. Step 3: Cross multiply
   37,314x = 80,644 × 80,644
4. Step 4: Simplify right side
   37,314x = 6,503,454,736
5. Step 5: Solve for x
   x = 6,503,454,736/37,314
6. Step 6: Final answer
   x = 174,289.94