Finding the Third Proportional to 37,840 and 57,288

Step by Step Solution

1. Step 1: Write the proportion equation
   37,840 : 57,288 = 57,288 : x
2. Step 2: Convert to fraction form
   37,840/57,288 = 57,288/x
3. Step 3: Cross multiply
   37,840x = 57,288 × 57,288
4. Step 4: Simplify right side
   37,840x = 3,281,914,944
5. Step 5: Solve for x
   x = 3,281,914,944/37,840
6. Step 6: Final answer
   x = 86,731.37