Finding the Third Proportional to 37,833.75 and 83,016

Step by Step Solution

1. Step 1: Write the proportion equation
   37,833.75 : 83,016 = 83,016 : x
2. Step 2: Convert to fraction form
   37,833.75/83,016 = 83,016/x
3. Step 3: Cross multiply
   37,833.75x = 83,016 × 83,016
4. Step 4: Simplify right side
   37,833.75x = 6,891,656,256
5. Step 5: Solve for x
   x = 6,891,656,256/37,833.75
6. Step 6: Final answer
   x = 182,156.31