Finding the Third Proportional to 532.69 and 1,146.38

Step by Step Solution

1. Step 1: Write the proportion equation
   532.69 : 1,146.38 = 1,146.38 : x
2. Step 2: Convert to fraction form
   532.69/1,146.38 = 1,146.38/x
3. Step 3: Cross multiply
   532.69x = 1,146.38 × 1,146.38
4. Step 4: Simplify right side
   532.69x = 1,314,175.64
5. Step 5: Solve for x
   x = 1,314,175.64/532.69
6. Step 6: Final answer
   x = 2,467.07