Finding the Third Proportional to 37,864 and 57,320

Step by Step Solution

1. Step 1: Write the proportion equation
   37,864 : 57,320 = 57,320 : x
2. Step 2: Convert to fraction form
   37,864/57,320 = 57,320/x
3. Step 3: Cross multiply
   37,864x = 57,320 × 57,320
4. Step 4: Simplify right side
   37,864x = 3,285,582,400
5. Step 5: Solve for x
   x = 3,285,582,400/37,864
6. Step 6: Final answer
   x = 86,773.25