Finding the Third Proportional to 3,688 and 7,016

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688 : 7,016 = 7,016 : x
2. Step 2: Convert to fraction form
   3,688/7,016 = 7,016/x
3. Step 3: Cross multiply
   3,688x = 7,016 × 7,016
4. Step 4: Simplify right side
   3,688x = 49,224,256
5. Step 5: Solve for x
   x = 49,224,256/3,688
6. Step 6: Final answer
   x = 13,347.14