Finding the Third Proportional to 1,145.25 and 2,444.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.25 : 2,444.63 = 2,444.63 : x
2. Step 2: Convert to fraction form
   1,145.25/2,444.63 = 2,444.63/x
3. Step 3: Cross multiply
   1,145.25x = 2,444.63 × 2,444.63
4. Step 4: Simplify right side
   1,145.25x = 5,976,191.39
5. Step 5: Solve for x
   x = 5,976,191.39/1,145.25
6. Step 6: Final answer
   x = 5,218.24