Finding the Third Proportional to 645 and 1,034.25

Step by Step Solution

1. Step 1: Write the proportion equation
   645 : 1,034.25 = 1,034.25 : x
2. Step 2: Convert to fraction form
   645/1,034.25 = 1,034.25/x
3. Step 3: Cross multiply
   645x = 1,034.25 × 1,034.25
4. Step 4: Simplify right side
   645x = 1,069,673.06
5. Step 5: Solve for x
   x = 1,069,673.06/645
6. Step 6: Final answer
   x = 1,658.41