Finding the Third Proportional to 37,448 and 82,684

Step by Step Solution

1. Step 1: Write the proportion equation
   37,448 : 82,684 = 82,684 : x
2. Step 2: Convert to fraction form
   37,448/82,684 = 82,684/x
3. Step 3: Cross multiply
   37,448x = 82,684 × 82,684
4. Step 4: Simplify right side
   37,448x = 6,836,643,856
5. Step 5: Solve for x
   x = 6,836,643,856/37,448
6. Step 6: Final answer
   x = 182,563.66