Finding the Third Proportional to 2,097.50 and 3,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.50 : 3,317.50 = 3,317.50 : x
2. Step 2: Convert to fraction form
   2,097.50/3,317.50 = 3,317.50/x
3. Step 3: Cross multiply
   2,097.50x = 3,317.50 × 3,317.50
4. Step 4: Simplify right side
   2,097.50x = 11,005,806.25
5. Step 5: Solve for x
   x = 11,005,806.25/2,097.50
6. Step 6: Final answer
   x = 5,247.11