Finding the Third Proportional to 3,538.69 and 5,315.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 5,315.63 = 5,315.63 : x
2. Step 2: Convert to fraction form
   3,538.69/5,315.63 = 5,315.63/x
3. Step 3: Cross multiply
   3,538.69x = 5,315.63 × 5,315.63
4. Step 4: Simplify right side
   3,538.69x = 28,255,869.14
5. Step 5: Solve for x
   x = 28,255,869.14/3,538.69
6. Step 6: Final answer
   x = 7,984.84