Finding the Third Proportional to 2,176.31 and 5,208.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,176.31 : 5,208.75 = 5,208.75 : x
2. Step 2: Convert to fraction form
   2,176.31/5,208.75 = 5,208.75/x
3. Step 3: Cross multiply
   2,176.31x = 5,208.75 × 5,208.75
4. Step 4: Simplify right side
   2,176.31x = 27,131,076.56
5. Step 5: Solve for x
   x = 27,131,076.56/2,176.31
6. Step 6: Final answer
   x = 12,466.54