Finding the Third Proportional to 37,782 and 83,016

Step by Step Solution

1. Step 1: Write the proportion equation
   37,782 : 83,016 = 83,016 : x
2. Step 2: Convert to fraction form
   37,782/83,016 = 83,016/x
3. Step 3: Cross multiply
   37,782x = 83,016 × 83,016
4. Step 4: Simplify right side
   37,782x = 6,891,656,256
5. Step 5: Solve for x
   x = 6,891,656,256/37,782
6. Step 6: Final answer
   x = 182,405.81