Finding the Third Proportional to 3,696.25 and 5,064.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,696.25 : 5,064.38 = 5,064.38 : x
2. Step 2: Convert to fraction form
   3,696.25/5,064.38 = 5,064.38/x
3. Step 3: Cross multiply
   3,696.25x = 5,064.38 × 5,064.38
4. Step 4: Simplify right side
   3,696.25x = 25,647,894.14
5. Step 5: Solve for x
   x = 25,647,894.14/3,696.25
6. Step 6: Final answer
   x = 6,938.90