Finding the Third Proportional to 4,105.69 and 5,680.13

Step by Step Solution

1. Step 1: Write the proportion equation
   4,105.69 : 5,680.13 = 5,680.13 : x
2. Step 2: Convert to fraction form
   4,105.69/5,680.13 = 5,680.13/x
3. Step 3: Cross multiply
   4,105.69x = 5,680.13 × 5,680.13
4. Step 4: Simplify right side
   4,105.69x = 32,263,820.02
5. Step 5: Solve for x
   x = 32,263,820.02/4,105.69
6. Step 6: Final answer
   x = 7,858.32