Finding the Third Proportional to 38,084 and 57,790

Step by Step Solution

1. Step 1: Write the proportion equation
   38,084 : 57,790 = 57,790 : x
2. Step 2: Convert to fraction form
   38,084/57,790 = 57,790/x
3. Step 3: Cross multiply
   38,084x = 57,790 × 57,790
4. Step 4: Simplify right side
   38,084x = 3,339,684,100
5. Step 5: Solve for x
   x = 3,339,684,100/38,084
6. Step 6: Final answer
   x = 87,692.58