Finding the Third Proportional to 1,522.63 and 3,306.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.63 : 3,306.25 = 3,306.25 : x
2. Step 2: Convert to fraction form
   1,522.63/3,306.25 = 3,306.25/x
3. Step 3: Cross multiply
   1,522.63x = 3,306.25 × 3,306.25
4. Step 4: Simplify right side
   1,522.63x = 10,931,289.06
5. Step 5: Solve for x
   x = 10,931,289.06/1,522.63
6. Step 6: Final answer
   x = 7,179.24