Finding the Third Proportional to 541.69 and 946.69

Step by Step Solution

1. Step 1: Write the proportion equation
   541.69 : 946.69 = 946.69 : x
2. Step 2: Convert to fraction form
   541.69/946.69 = 946.69/x
3. Step 3: Cross multiply
   541.69x = 946.69 × 946.69
4. Step 4: Simplify right side
   541.69x = 896,217.22
5. Step 5: Solve for x
   x = 896,217.22/541.69
6. Step 6: Final answer
   x = 1,654.49