Finding the Third Proportional to 7,665 and 14,061

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665 : 14,061 = 14,061 : x
2. Step 2: Convert to fraction form
   7,665/14,061 = 14,061/x
3. Step 3: Cross multiply
   7,665x = 14,061 × 14,061
4. Step 4: Simplify right side
   7,665x = 197,711,721
5. Step 5: Solve for x
   x = 197,711,721/7,665
6. Step 6: Final answer
   x = 25,794.09