Finding the Third Proportional to 1,736 and 3,688

Step by Step Solution

1. Step 1: Write the proportion equation
   1,736 : 3,688 = 3,688 : x
2. Step 2: Convert to fraction form
   1,736/3,688 = 3,688/x
3. Step 3: Cross multiply
   1,736x = 3,688 × 3,688
4. Step 4: Simplify right side
   1,736x = 13,601,344
5. Step 5: Solve for x
   x = 13,601,344/1,736
6. Step 6: Final answer
   x = 7,834.88