Finding the Third Proportional to 3,463.50 and 5,579.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,463.50 : 5,579.25 = 5,579.25 : x
2. Step 2: Convert to fraction form
   3,463.50/5,579.25 = 5,579.25/x
3. Step 3: Cross multiply
   3,463.50x = 5,579.25 × 5,579.25
4. Step 4: Simplify right side
   3,463.50x = 31,128,030.56
5. Step 5: Solve for x
   x = 31,128,030.56/3,463.50
6. Step 6: Final answer
   x = 8,987.45