Finding the Third Proportional to 1,742.77 and 2,756.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.77 : 2,756.53 = 2,756.53 : x
2. Step 2: Convert to fraction form
   1,742.77/2,756.53 = 2,756.53/x
3. Step 3: Cross multiply
   1,742.77x = 2,756.53 × 2,756.53
4. Step 4: Simplify right side
   1,742.77x = 7,598,464.53
5. Step 5: Solve for x
   x = 7,598,464.53/1,742.77
6. Step 6: Final answer
   x = 4,360.00