Finding the Third Proportional to 596.13 and 1,401.38

Step by Step Solution

1. Step 1: Write the proportion equation
   596.13 : 1,401.38 = 1,401.38 : x
2. Step 2: Convert to fraction form
   596.13/1,401.38 = 1,401.38/x
3. Step 3: Cross multiply
   596.13x = 1,401.38 × 1,401.38
4. Step 4: Simplify right side
   596.13x = 1,963,851.89
5. Step 5: Solve for x
   x = 1,963,851.89/596.13
6. Step 6: Final answer
   x = 3,294.36