Finding the Third Proportional to 911 and 1,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   911 : 1,265.50 = 1,265.50 : x
2. Step 2: Convert to fraction form
   911/1,265.50 = 1,265.50/x
3. Step 3: Cross multiply
   911x = 1,265.50 × 1,265.50
4. Step 4: Simplify right side
   911x = 1,601,490.25
5. Step 5: Solve for x
   x = 1,601,490.25/911
6. Step 6: Final answer
   x = 1,757.95