Finding the Third Proportional to 523 and 1,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523 : 1,126.50 = 1,126.50 : x
2. Step 2: Convert to fraction form
   523/1,126.50 = 1,126.50/x
3. Step 3: Cross multiply
   523x = 1,126.50 × 1,126.50
4. Step 4: Simplify right side
   523x = 1,269,002.25
5. Step 5: Solve for x
   x = 1,269,002.25/523
6. Step 6: Final answer
   x = 2,426.39