Finding the Third Proportional to 948.38 and 1,429.31

Step by Step Solution

1. Step 1: Write the proportion equation
   948.38 : 1,429.31 = 1,429.31 : x
2. Step 2: Convert to fraction form
   948.38/1,429.31 = 1,429.31/x
3. Step 3: Cross multiply
   948.38x = 1,429.31 × 1,429.31
4. Step 4: Simplify right side
   948.38x = 2,042,934.22
5. Step 5: Solve for x
   x = 2,042,934.22/948.38
6. Step 6: Final answer
   x = 2,154.14