Finding the Third Proportional to 876.38 and 1,036.38

Step by Step Solution

1. Step 1: Write the proportion equation
   876.38 : 1,036.38 = 1,036.38 : x
2. Step 2: Convert to fraction form
   876.38/1,036.38 = 1,036.38/x
3. Step 3: Cross multiply
   876.38x = 1,036.38 × 1,036.38
4. Step 4: Simplify right side
   876.38x = 1,074,073.14
5. Step 5: Solve for x
   x = 1,074,073.14/876.38
6. Step 6: Final answer
   x = 1,225.59