Finding the Third Proportional to 37,723 and 82,979

Step by Step Solution

1. Step 1: Write the proportion equation
   37,723 : 82,979 = 82,979 : x
2. Step 2: Convert to fraction form
   37,723/82,979 = 82,979/x
3. Step 3: Cross multiply
   37,723x = 82,979 × 82,979
4. Step 4: Simplify right side
   37,723x = 6,885,514,441
5. Step 5: Solve for x
   x = 6,885,514,441/37,723
6. Step 6: Final answer
   x = 182,528.28