Finding the Third Proportional to 1,224.56 and 2,669.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,224.56 : 2,669.06 = 2,669.06 : x
2. Step 2: Convert to fraction form
   1,224.56/2,669.06 = 2,669.06/x
3. Step 3: Cross multiply
   1,224.56x = 2,669.06 × 2,669.06
4. Step 4: Simplify right side
   1,224.56x = 7,123,894.63
5. Step 5: Solve for x
   x = 7,123,894.63/1,224.56
6. Step 6: Final answer
   x = 5,817.50