Finding the Third Proportional to 1,599.50 and 2,338

Step by Step Solution

1. Step 1: Write the proportion equation
   1,599.50 : 2,338 = 2,338 : x
2. Step 2: Convert to fraction form
   1,599.50/2,338 = 2,338/x
3. Step 3: Cross multiply
   1,599.50x = 2,338 × 2,338
4. Step 4: Simplify right side
   1,599.50x = 5,466,244
5. Step 5: Solve for x
   x = 5,466,244/1,599.50
6. Step 6: Final answer
   x = 3,417.47