Finding the Third Proportional to 5,266.69 and 10,680.19

Step by Step Solution

1. Step 1: Write the proportion equation
   5,266.69 : 10,680.19 = 10,680.19 : x
2. Step 2: Convert to fraction form
   5,266.69/10,680.19 = 10,680.19/x
3. Step 3: Cross multiply
   5,266.69x = 10,680.19 × 10,680.19
4. Step 4: Simplify right side
   5,266.69x = 114,066,405.04
5. Step 5: Solve for x
   x = 114,066,405.04/5,266.69
6. Step 6: Final answer
   x = 21,658.09