Finding the Third Proportional to 37,858 and 80,684

Step by Step Solution

1. Step 1: Write the proportion equation
   37,858 : 80,684 = 80,684 : x
2. Step 2: Convert to fraction form
   37,858/80,684 = 80,684/x
3. Step 3: Cross multiply
   37,858x = 80,684 × 80,684
4. Step 4: Simplify right side
   37,858x = 6,509,907,856
5. Step 5: Solve for x
   x = 6,509,907,856/37,858
6. Step 6: Final answer
   x = 171,955.94