Finding the Third Proportional to 5,830.88 and 7,668.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830.88 : 7,668.56 = 7,668.56 : x
2. Step 2: Convert to fraction form
   5,830.88/7,668.56 = 7,668.56/x
3. Step 3: Cross multiply
   5,830.88x = 7,668.56 × 7,668.56
4. Step 4: Simplify right side
   5,830.88x = 58,806,850.82
5. Step 5: Solve for x
   x = 58,806,850.82/5,830.88
6. Step 6: Final answer
   x = 10,085.42