Finding the Third Proportional to 1,161.42 and 1,363.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161.42 : 1,363.92 = 1,363.92 : x
2. Step 2: Convert to fraction form
   1,161.42/1,363.92 = 1,363.92/x
3. Step 3: Cross multiply
   1,161.42x = 1,363.92 × 1,363.92
4. Step 4: Simplify right side
   1,161.42x = 1,860,282.88
5. Step 5: Solve for x
   x = 1,860,282.88/1,161.42
6. Step 6: Final answer
   x = 1,601.73