Finding the Third Proportional to 553.69 and 1,192.69

Step by Step Solution

1. Step 1: Write the proportion equation
   553.69 : 1,192.69 = 1,192.69 : x
2. Step 2: Convert to fraction form
   553.69/1,192.69 = 1,192.69/x
3. Step 3: Cross multiply
   553.69x = 1,192.69 × 1,192.69
4. Step 4: Simplify right side
   553.69x = 1,422,503.47
5. Step 5: Solve for x
   x = 1,422,503.47/553.69
6. Step 6: Final answer
   x = 2,569.15