Finding the Third Proportional to 3,474.32 and 7,577.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,474.32 : 7,577.55 = 7,577.55 : x
2. Step 2: Convert to fraction form
   3,474.32/7,577.55 = 7,577.55/x
3. Step 3: Cross multiply
   3,474.32x = 7,577.55 × 7,577.55
4. Step 4: Simplify right side
   3,474.32x = 57,419,211.56
5. Step 5: Solve for x
   x = 57,419,211.56/3,474.32
6. Step 6: Final answer
   x = 16,526.75