Finding the Third Proportional to 1,130.53 and 1,738.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,130.53 : 1,738.78 = 1,738.78 : x
2. Step 2: Convert to fraction form
   1,130.53/1,738.78 = 1,738.78/x
3. Step 3: Cross multiply
   1,130.53x = 1,738.78 × 1,738.78
4. Step 4: Simplify right side
   1,130.53x = 3,023,360.24
5. Step 5: Solve for x
   x = 3,023,360.24/1,130.53
6. Step 6: Final answer
   x = 2,674.28