Finding the Third Proportional to 523.69 and 1,034.06

Step by Step Solution

1. Step 1: Write the proportion equation
   523.69 : 1,034.06 = 1,034.06 : x
2. Step 2: Convert to fraction form
   523.69/1,034.06 = 1,034.06/x
3. Step 3: Cross multiply
   523.69x = 1,034.06 × 1,034.06
4. Step 4: Simplify right side
   523.69x = 1,069,285.25
5. Step 5: Solve for x
   x = 1,069,285.25/523.69
6. Step 6: Final answer
   x = 2,041.84