Finding the Third Proportional to 37,082 and 57,423

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082 : 57,423 = 57,423 : x
2. Step 2: Convert to fraction form
   37,082/57,423 = 57,423/x
3. Step 3: Cross multiply
   37,082x = 57,423 × 57,423
4. Step 4: Simplify right side
   37,082x = 3,297,400,929
5. Step 5: Solve for x
   x = 3,297,400,929/37,082
6. Step 6: Final answer
   x = 88,921.87