Finding the Third Proportional to 1,192.55 and 1,824.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.55 : 1,824.33 = 1,824.33 : x
2. Step 2: Convert to fraction form
   1,192.55/1,824.33 = 1,824.33/x
3. Step 3: Cross multiply
   1,192.55x = 1,824.33 × 1,824.33
4. Step 4: Simplify right side
   1,192.55x = 3,328,173.11
5. Step 5: Solve for x
   x = 3,328,173.11/1,192.55
6. Step 6: Final answer
   x = 2,790.81