Finding the Third Proportional to 2,407.50 and 3,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.50 : 3,574.50 = 3,574.50 : x
2. Step 2: Convert to fraction form
   2,407.50/3,574.50 = 3,574.50/x
3. Step 3: Cross multiply
   2,407.50x = 3,574.50 × 3,574.50
4. Step 4: Simplify right side
   2,407.50x = 12,777,050.25
5. Step 5: Solve for x
   x = 12,777,050.25/2,407.50
6. Step 6: Final answer
   x = 5,307.19