Finding the Third Proportional to 3,523.50 and 7,775.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,523.50 : 7,775.25 = 7,775.25 : x
2. Step 2: Convert to fraction form
   3,523.50/7,775.25 = 7,775.25/x
3. Step 3: Cross multiply
   3,523.50x = 7,775.25 × 7,775.25
4. Step 4: Simplify right side
   3,523.50x = 60,454,512.56
5. Step 5: Solve for x
   x = 60,454,512.56/3,523.50
6. Step 6: Final answer
   x = 17,157.52