Finding the Third Proportional to 7,693.69 and 16,564.22

Step by Step Solution

1. Step 1: Write the proportion equation
   7,693.69 : 16,564.22 = 16,564.22 : x
2. Step 2: Convert to fraction form
   7,693.69/16,564.22 = 16,564.22/x
3. Step 3: Cross multiply
   7,693.69x = 16,564.22 × 16,564.22
4. Step 4: Simplify right side
   7,693.69x = 274,373,342.80
5. Step 5: Solve for x
   x = 274,373,342.80/7,693.69
6. Step 6: Final answer
   x = 35,662.14