Finding the Third Proportional to 11,700 and 25,665

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 25,665 = 25,665 : x
2. Step 2: Convert to fraction form
   11,700/25,665 = 25,665/x
3. Step 3: Cross multiply
   11,700x = 25,665 × 25,665
4. Step 4: Simplify right side
   11,700x = 658,692,225
5. Step 5: Solve for x
   x = 658,692,225/11,700
6. Step 6: Final answer
   x = 56,298.48