Finding the Third Proportional to 37,656 and 82,116

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 82,116 = 82,116 : x
2. Step 2: Convert to fraction form
   37,656/82,116 = 82,116/x
3. Step 3: Cross multiply
   37,656x = 82,116 × 82,116
4. Step 4: Simplify right side
   37,656x = 6,743,037,456
5. Step 5: Solve for x
   x = 6,743,037,456/37,656
6. Step 6: Final answer
   x = 179,069.40