Finding the Third Proportional to 1,036.55 and 1,188.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.55 : 1,188.42 = 1,188.42 : x
2. Step 2: Convert to fraction form
   1,036.55/1,188.42 = 1,188.42/x
3. Step 3: Cross multiply
   1,036.55x = 1,188.42 × 1,188.42
4. Step 4: Simplify right side
   1,036.55x = 1,412,346.55
5. Step 5: Solve for x
   x = 1,412,346.55/1,036.55
6. Step 6: Final answer
   x = 1,362.55