Finding the Third Proportional to 1,153.83 and 1,401.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.83 : 1,401.89 = 1,401.89 : x
2. Step 2: Convert to fraction form
   1,153.83/1,401.89 = 1,401.89/x
3. Step 3: Cross multiply
   1,153.83x = 1,401.89 × 1,401.89
4. Step 4: Simplify right side
   1,153.83x = 1,965,297.32
5. Step 5: Solve for x
   x = 1,965,297.32/1,153.83
6. Step 6: Final answer
   x = 1,703.28