Finding the Third Proportional to 37,864 and 82,280

Step by Step Solution

1. Step 1: Write the proportion equation
   37,864 : 82,280 = 82,280 : x
2. Step 2: Convert to fraction form
   37,864/82,280 = 82,280/x
3. Step 3: Cross multiply
   37,864x = 82,280 × 82,280
4. Step 4: Simplify right side
   37,864x = 6,769,998,400
5. Step 5: Solve for x
   x = 6,769,998,400/37,864
6. Step 6: Final answer
   x = 178,797.76