Finding the Third Proportional to 3,577.50 and 9,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 9,409.50 = 9,409.50 : x
2. Step 2: Convert to fraction form
   3,577.50/9,409.50 = 9,409.50/x
3. Step 3: Cross multiply
   3,577.50x = 9,409.50 × 9,409.50
4. Step 4: Simplify right side
   3,577.50x = 88,538,690.25
5. Step 5: Solve for x
   x = 88,538,690.25/3,577.50
6. Step 6: Final answer
   x = 24,748.76