Finding the Third Proportional to 3,696 and 7,290

Step by Step Solution

1. Step 1: Write the proportion equation
   3,696 : 7,290 = 7,290 : x
2. Step 2: Convert to fraction form
   3,696/7,290 = 7,290/x
3. Step 3: Cross multiply
   3,696x = 7,290 × 7,290
4. Step 4: Simplify right side
   3,696x = 53,144,100
5. Step 5: Solve for x
   x = 53,144,100/3,696
6. Step 6: Final answer
   x = 14,378.81