Finding the Third Proportional to 5,604.19 and 7,577.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,604.19 : 7,577.61 = 7,577.61 : x
2. Step 2: Convert to fraction form
   5,604.19/7,577.61 = 7,577.61/x
3. Step 3: Cross multiply
   5,604.19x = 7,577.61 × 7,577.61
4. Step 4: Simplify right side
   5,604.19x = 57,420,223.04
5. Step 5: Solve for x
   x = 57,420,223.04/5,604.19
6. Step 6: Final answer
   x = 10,245.95