Finding the Third Proportional to 1,437.54 and 2,038.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,437.54 : 2,038.61 = 2,038.61 : x
2. Step 2: Convert to fraction form
   1,437.54/2,038.61 = 2,038.61/x
3. Step 3: Cross multiply
   1,437.54x = 2,038.61 × 2,038.61
4. Step 4: Simplify right side
   1,437.54x = 4,155,912.26
5. Step 5: Solve for x
   x = 4,155,912.26/1,437.54
6. Step 6: Final answer
   x = 2,890.99