Finding the Third Proportional to 1,743.75 and 3,572.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,743.75 : 3,572.63 = 3,572.63 : x
2. Step 2: Convert to fraction form
   1,743.75/3,572.63 = 3,572.63/x
3. Step 3: Cross multiply
   1,743.75x = 3,572.63 × 3,572.63
4. Step 4: Simplify right side
   1,743.75x = 12,763,649.39
5. Step 5: Solve for x
   x = 12,763,649.39/1,743.75
6. Step 6: Final answer
   x = 7,319.66