Finding the Third Proportional to 1,588 and 3,494

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588 : 3,494 = 3,494 : x
2. Step 2: Convert to fraction form
   1,588/3,494 = 3,494/x
3. Step 3: Cross multiply
   1,588x = 3,494 × 3,494
4. Step 4: Simplify right side
   1,588x = 12,208,036
5. Step 5: Solve for x
   x = 12,208,036/1,588
6. Step 6: Final answer
   x = 7,687.68