Finding the Third Proportional to 37,840 and 57,286

Step by Step Solution

1. Step 1: Write the proportion equation
   37,840 : 57,286 = 57,286 : x
2. Step 2: Convert to fraction form
   37,840/57,286 = 57,286/x
3. Step 3: Cross multiply
   37,840x = 57,286 × 57,286
4. Step 4: Simplify right side
   37,840x = 3,281,685,796
5. Step 5: Solve for x
   x = 3,281,685,796/37,840
6. Step 6: Final answer
   x = 86,725.31