Finding the Third Proportional to 11,475 and 23,665

Step by Step Solution

1. Step 1: Write the proportion equation
   11,475 : 23,665 = 23,665 : x
2. Step 2: Convert to fraction form
   11,475/23,665 = 23,665/x
3. Step 3: Cross multiply
   11,475x = 23,665 × 23,665
4. Step 4: Simplify right side
   11,475x = 560,032,225
5. Step 5: Solve for x
   x = 560,032,225/11,475
6. Step 6: Final answer
   x = 48,804.55