Finding the Third Proportional to 1,010.53 and 1,469.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.53 : 1,469.53 = 1,469.53 : x
2. Step 2: Convert to fraction form
   1,010.53/1,469.53 = 1,469.53/x
3. Step 3: Cross multiply
   1,010.53x = 1,469.53 × 1,469.53
4. Step 4: Simplify right side
   1,010.53x = 2,159,522.09
5. Step 5: Solve for x
   x = 2,159,522.09/1,010.53
6. Step 6: Final answer
   x = 2,137.02