Finding the Third Proportional to 1,041.53 and 2,256.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,041.53 : 2,256.77 = 2,256.77 : x
2. Step 2: Convert to fraction form
   1,041.53/2,256.77 = 2,256.77/x
3. Step 3: Cross multiply
   1,041.53x = 2,256.77 × 2,256.77
4. Step 4: Simplify right side
   1,041.53x = 5,092,999.90
5. Step 5: Solve for x
   x = 5,092,999.90/1,041.53
6. Step 6: Final answer
   x = 4,889.92