Finding the Third Proportional to 37,716 and 82,680

Step by Step Solution

1. Step 1: Write the proportion equation
   37,716 : 82,680 = 82,680 : x
2. Step 2: Convert to fraction form
   37,716/82,680 = 82,680/x
3. Step 3: Cross multiply
   37,716x = 82,680 × 82,680
4. Step 4: Simplify right side
   37,716x = 6,835,982,400
5. Step 5: Solve for x
   x = 6,835,982,400/37,716
6. Step 6: Final answer
   x = 181,248.87