Finding the Third Proportional to 16,634 and 35,599

Step by Step Solution

1. Step 1: Write the proportion equation
   16,634 : 35,599 = 35,599 : x
2. Step 2: Convert to fraction form
   16,634/35,599 = 35,599/x
3. Step 3: Cross multiply
   16,634x = 35,599 × 35,599
4. Step 4: Simplify right side
   16,634x = 1,267,288,801
5. Step 5: Solve for x
   x = 1,267,288,801/16,634
6. Step 6: Final answer
   x = 76,186.65