Finding the Third Proportional to 3,688 and 5,566

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688 : 5,566 = 5,566 : x
2. Step 2: Convert to fraction form
   3,688/5,566 = 5,566/x
3. Step 3: Cross multiply
   3,688x = 5,566 × 5,566
4. Step 4: Simplify right side
   3,688x = 30,980,356
5. Step 5: Solve for x
   x = 30,980,356/3,688
6. Step 6: Final answer
   x = 8,400.31