Finding the Third Proportional to 914 and 1,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   914 : 1,913.50 = 1,913.50 : x
2. Step 2: Convert to fraction form
   914/1,913.50 = 1,913.50/x
3. Step 3: Cross multiply
   914x = 1,913.50 × 1,913.50
4. Step 4: Simplify right side
   914x = 3,661,482.25
5. Step 5: Solve for x
   x = 3,661,482.25/914
6. Step 6: Final answer
   x = 4,006.00