Finding the Third Proportional to 523.50 and 1,034

Step by Step Solution

1. Step 1: Write the proportion equation
   523.50 : 1,034 = 1,034 : x
2. Step 2: Convert to fraction form
   523.50/1,034 = 1,034/x
3. Step 3: Cross multiply
   523.50x = 1,034 × 1,034
4. Step 4: Simplify right side
   523.50x = 1,069,156
5. Step 5: Solve for x
   x = 1,069,156/523.50
6. Step 6: Final answer
   x = 2,042.32