Finding the Third Proportional to 5,176.69 and 7,752.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,176.69 : 7,752.09 = 7,752.09 : x
2. Step 2: Convert to fraction form
   5,176.69/7,752.09 = 7,752.09/x
3. Step 3: Cross multiply
   5,176.69x = 7,752.09 × 7,752.09
4. Step 4: Simplify right side
   5,176.69x = 60,094,957.51
5. Step 5: Solve for x
   x = 60,094,957.51/5,176.69
6. Step 6: Final answer
   x = 11,608.77