Finding the Third Proportional to 948 and 2,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   948 : 2,266.50 = 2,266.50 : x
2. Step 2: Convert to fraction form
   948/2,266.50 = 2,266.50/x
3. Step 3: Cross multiply
   948x = 2,266.50 × 2,266.50
4. Step 4: Simplify right side
   948x = 5,137,022.25
5. Step 5: Solve for x
   x = 5,137,022.25/948
6. Step 6: Final answer
   x = 5,418.80