Finding the Third Proportional to 1,522.97 and 3,165.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.97 : 3,165.61 = 3,165.61 : x
2. Step 2: Convert to fraction form
   1,522.97/3,165.61 = 3,165.61/x
3. Step 3: Cross multiply
   1,522.97x = 3,165.61 × 3,165.61
4. Step 4: Simplify right side
   1,522.97x = 10,021,082.72
5. Step 5: Solve for x
   x = 10,021,082.72/1,522.97
6. Step 6: Final answer
   x = 6,579.97