Finding the Third Proportional to 16,490 and 36,665

Step by Step Solution

1. Step 1: Write the proportion equation
   16,490 : 36,665 = 36,665 : x
2. Step 2: Convert to fraction form
   16,490/36,665 = 36,665/x
3. Step 3: Cross multiply
   16,490x = 36,665 × 36,665
4. Step 4: Simplify right side
   16,490x = 1,344,322,225
5. Step 5: Solve for x
   x = 1,344,322,225/16,490
6. Step 6: Final answer
   x = 81,523.48