Finding the Third Proportional to 1,224.38 and 2,623.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,224.38 : 2,623.88 = 2,623.88 : x
2. Step 2: Convert to fraction form
   1,224.38/2,623.88 = 2,623.88/x
3. Step 3: Cross multiply
   1,224.38x = 2,623.88 × 2,623.88
4. Step 4: Simplify right side
   1,224.38x = 6,884,720.02
5. Step 5: Solve for x
   x = 6,884,720.02/1,224.38
6. Step 6: Final answer
   x = 5,623.05