Finding the Third Proportional to 931.50 and 1,452.94

Step by Step Solution

1. Step 1: Write the proportion equation
   931.50 : 1,452.94 = 1,452.94 : x
2. Step 2: Convert to fraction form
   931.50/1,452.94 = 1,452.94/x
3. Step 3: Cross multiply
   931.50x = 1,452.94 × 1,452.94
4. Step 4: Simplify right side
   931.50x = 2,111,027.38
5. Step 5: Solve for x
   x = 2,111,027.38/931.50
6. Step 6: Final answer
   x = 2,266.27