Finding the Third Proportional to 7,705.69 and 16,615.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.69 : 16,615.69 = 16,615.69 : x
2. Step 2: Convert to fraction form
   7,705.69/16,615.69 = 16,615.69/x
3. Step 3: Cross multiply
   7,705.69x = 16,615.69 × 16,615.69
4. Step 4: Simplify right side
   7,705.69x = 276,081,071.10
5. Step 5: Solve for x
   x = 276,081,071.10/7,705.69
6. Step 6: Final answer
   x = 35,828.22