Finding the Third Proportional to 1,742.77 and 3,627.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.77 : 3,627.28 = 3,627.28 : x
2. Step 2: Convert to fraction form
   1,742.77/3,627.28 = 3,627.28/x
3. Step 3: Cross multiply
   1,742.77x = 3,627.28 × 3,627.28
4. Step 4: Simplify right side
   1,742.77x = 13,157,169.27
5. Step 5: Solve for x
   x = 13,157,169.27/1,742.77
6. Step 6: Final answer
   x = 7,549.59