Finding the Third Proportional to 1,040.34 and 1,427.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,040.34 : 1,427.63 = 1,427.63 : x
2. Step 2: Convert to fraction form
   1,040.34/1,427.63 = 1,427.63/x
3. Step 3: Cross multiply
   1,040.34x = 1,427.63 × 1,427.63
4. Step 4: Simplify right side
   1,040.34x = 2,038,113.14
5. Step 5: Solve for x
   x = 2,038,113.14/1,040.34
6. Step 6: Final answer
   x = 1,959.08