Finding the Third Proportional to 3,097.50 and 5,111.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,097.50 : 5,111.25 = 5,111.25 : x
2. Step 2: Convert to fraction form
   3,097.50/5,111.25 = 5,111.25/x
3. Step 3: Cross multiply
   3,097.50x = 5,111.25 × 5,111.25
4. Step 4: Simplify right side
   3,097.50x = 26,124,876.56
5. Step 5: Solve for x
   x = 26,124,876.56/3,097.50
6. Step 6: Final answer
   x = 8,434.18