Finding the Third Proportional to 7,577.49 and 16,466.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,577.49 : 16,466.55 = 16,466.55 : x
2. Step 2: Convert to fraction form
   7,577.49/16,466.55 = 16,466.55/x
3. Step 3: Cross multiply
   7,577.49x = 16,466.55 × 16,466.55
4. Step 4: Simplify right side
   7,577.49x = 271,147,423.28
5. Step 5: Solve for x
   x = 271,147,423.28/7,577.49
6. Step 6: Final answer
   x = 35,783.28