Finding the Third Proportional to 3,668.63 and 7,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,668.63 : 7,152.75 = 7,152.75 : x
2. Step 2: Convert to fraction form
   3,668.63/7,152.75 = 7,152.75/x
3. Step 3: Cross multiply
   3,668.63x = 7,152.75 × 7,152.75
4. Step 4: Simplify right side
   3,668.63x = 51,161,832.56
5. Step 5: Solve for x
   x = 51,161,832.56/3,668.63
6. Step 6: Final answer
   x = 13,945.78