Finding the Third Proportional to 1,072.69 and 2,522.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.69 : 2,522.53 = 2,522.53 : x
2. Step 2: Convert to fraction form
   1,072.69/2,522.53 = 2,522.53/x
3. Step 3: Cross multiply
   1,072.69x = 2,522.53 × 2,522.53
4. Step 4: Simplify right side
   1,072.69x = 6,363,163.91
5. Step 5: Solve for x
   x = 6,363,163.91/1,072.69
6. Step 6: Final answer
   x = 5,931.98