Finding the Third Proportional to 14,658 and 19,665

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 19,665 = 19,665 : x
2. Step 2: Convert to fraction form
   14,658/19,665 = 19,665/x
3. Step 3: Cross multiply
   14,658x = 19,665 × 19,665
4. Step 4: Simplify right side
   14,658x = 386,712,225
5. Step 5: Solve for x
   x = 386,712,225/14,658
6. Step 6: Final answer
   x = 26,382.33