Finding the Third Proportional to 1,153.69 and 2,523.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.69 : 2,523.38 = 2,523.38 : x
2. Step 2: Convert to fraction form
   1,153.69/2,523.38 = 2,523.38/x
3. Step 3: Cross multiply
   1,153.69x = 2,523.38 × 2,523.38
4. Step 4: Simplify right side
   1,153.69x = 6,367,421.39
5. Step 5: Solve for x
   x = 6,367,421.39/1,153.69
6. Step 6: Final answer
   x = 5,519.19