Finding the Third Proportional to 4,996.69 and 7,685.72

Step by Step Solution

1. Step 1: Write the proportion equation
   4,996.69 : 7,685.72 = 7,685.72 : x
2. Step 2: Convert to fraction form
   4,996.69/7,685.72 = 7,685.72/x
3. Step 3: Cross multiply
   4,996.69x = 7,685.72 × 7,685.72
4. Step 4: Simplify right side
   4,996.69x = 59,070,272.70
5. Step 5: Solve for x
   x = 59,070,272.70/4,996.69
6. Step 6: Final answer
   x = 11,821.89