Finding the Third Proportional to 37,656 and 82,836

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 82,836 = 82,836 : x
2. Step 2: Convert to fraction form
   37,656/82,836 = 82,836/x
3. Step 3: Cross multiply
   37,656x = 82,836 × 82,836
4. Step 4: Simplify right side
   37,656x = 6,861,802,896
5. Step 5: Solve for x
   x = 6,861,802,896/37,656
6. Step 6: Final answer
   x = 182,223.36