Finding the Third Proportional to 1,229.06 and 1,737.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.06 : 1,737.98 = 1,737.98 : x
2. Step 2: Convert to fraction form
   1,229.06/1,737.98 = 1,737.98/x
3. Step 3: Cross multiply
   1,229.06x = 1,737.98 × 1,737.98
4. Step 4: Simplify right side
   1,229.06x = 3,020,589.69
5. Step 5: Solve for x
   x = 3,020,589.69/1,229.06
6. Step 6: Final answer
   x = 2,457.64