Finding the Third Proportional to 16,599 and 35,966

Step by Step Solution

1. Step 1: Write the proportion equation
   16,599 : 35,966 = 35,966 : x
2. Step 2: Convert to fraction form
   16,599/35,966 = 35,966/x
3. Step 3: Cross multiply
   16,599x = 35,966 × 35,966
4. Step 4: Simplify right side
   16,599x = 1,293,553,156
5. Step 5: Solve for x
   x = 1,293,553,156/16,599
6. Step 6: Final answer
   x = 77,929.58