Finding the Third Proportional to 1,126 and 1,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,126 : 1,328.50 = 1,328.50 : x
2. Step 2: Convert to fraction form
   1,126/1,328.50 = 1,328.50/x
3. Step 3: Cross multiply
   1,126x = 1,328.50 × 1,328.50
4. Step 4: Simplify right side
   1,126x = 1,764,912.25
5. Step 5: Solve for x
   x = 1,764,912.25/1,126
6. Step 6: Final answer
   x = 1,567.42