Finding the Third Proportional to 37,836 and 57,280

Step by Step Solution

1. Step 1: Write the proportion equation
   37,836 : 57,280 = 57,280 : x
2. Step 2: Convert to fraction form
   37,836/57,280 = 57,280/x
3. Step 3: Cross multiply
   37,836x = 57,280 × 57,280
4. Step 4: Simplify right side
   37,836x = 3,280,998,400
5. Step 5: Solve for x
   x = 3,280,998,400/37,836
6. Step 6: Final answer
   x = 86,716.31