Finding the Third Proportional to 4,996.69 and 13,177.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,996.69 : 13,177.69 = 13,177.69 : x
2. Step 2: Convert to fraction form
   4,996.69/13,177.69 = 13,177.69/x
3. Step 3: Cross multiply
   4,996.69x = 13,177.69 × 13,177.69
4. Step 4: Simplify right side
   4,996.69x = 173,651,447.85
5. Step 5: Solve for x
   x = 173,651,447.85/4,996.69
6. Step 6: Final answer
   x = 34,753.31