Finding the Third Proportional to 2,007.56 and 4,213.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.56 : 4,213.69 = 4,213.69 : x
2. Step 2: Convert to fraction form
   2,007.56/4,213.69 = 4,213.69/x
3. Step 3: Cross multiply
   2,007.56x = 4,213.69 × 4,213.69
4. Step 4: Simplify right side
   2,007.56x = 17,755,162.35
5. Step 5: Solve for x
   x = 17,755,162.35/2,007.56
6. Step 6: Final answer
   x = 8,844.14