Finding the Third Proportional to 10,665 and 23,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 23,658 = 23,658 : x
2. Step 2: Convert to fraction form
   10,665/23,658 = 23,658/x
3. Step 3: Cross multiply
   10,665x = 23,658 × 23,658
4. Step 4: Simplify right side
   10,665x = 559,700,964
5. Step 5: Solve for x
   x = 559,700,964/10,665
6. Step 6: Final answer
   x = 52,480.17