Finding the Third Proportional to 1,238.41 and 2,533.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.41 : 2,533.78 = 2,533.78 : x
2. Step 2: Convert to fraction form
   1,238.41/2,533.78 = 2,533.78/x
3. Step 3: Cross multiply
   1,238.41x = 2,533.78 × 2,533.78
4. Step 4: Simplify right side
   1,238.41x = 6,420,047.42
5. Step 5: Solve for x
   x = 6,420,047.42/1,238.41
6. Step 6: Final answer
   x = 5,184.09