Finding the Third Proportional to 37,823 and 80,614

Step by Step Solution

1. Step 1: Write the proportion equation
   37,823 : 80,614 = 80,614 : x
2. Step 2: Convert to fraction form
   37,823/80,614 = 80,614/x
3. Step 3: Cross multiply
   37,823x = 80,614 × 80,614
4. Step 4: Simplify right side
   37,823x = 6,498,616,996
5. Step 5: Solve for x
   x = 6,498,616,996/37,823
6. Step 6: Final answer
   x = 171,816.54