Finding the Third Proportional to 3,407.25 and 7,542.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,407.25 : 7,542.75 = 7,542.75 : x
2. Step 2: Convert to fraction form
   3,407.25/7,542.75 = 7,542.75/x
3. Step 3: Cross multiply
   3,407.25x = 7,542.75 × 7,542.75
4. Step 4: Simplify right side
   3,407.25x = 56,893,077.56
5. Step 5: Solve for x
   x = 56,893,077.56/3,407.25
6. Step 6: Final answer
   x = 16,697.65