Finding the Third Proportional to 37,952 and 82,816

Step by Step Solution

1. Step 1: Write the proportion equation
   37,952 : 82,816 = 82,816 : x
2. Step 2: Convert to fraction form
   37,952/82,816 = 82,816/x
3. Step 3: Cross multiply
   37,952x = 82,816 × 82,816
4. Step 4: Simplify right side
   37,952x = 6,858,489,856
5. Step 5: Solve for x
   x = 6,858,489,856/37,952
6. Step 6: Final answer
   x = 180,714.85