Finding the Third Proportional to 507.38 and 1,036.69

Step by Step Solution

1. Step 1: Write the proportion equation
   507.38 : 1,036.69 = 1,036.69 : x
2. Step 2: Convert to fraction form
   507.38/1,036.69 = 1,036.69/x
3. Step 3: Cross multiply
   507.38x = 1,036.69 × 1,036.69
4. Step 4: Simplify right side
   507.38x = 1,074,720.97
5. Step 5: Solve for x
   x = 1,074,720.97/507.38
6. Step 6: Final answer
   x = 2,118.20