Finding the Third Proportional to 16,839 and 36,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,839 : 36,634.50 = 36,634.50 : x
2. Step 2: Convert to fraction form
   16,839/36,634.50 = 36,634.50/x
3. Step 3: Cross multiply
   16,839x = 36,634.50 × 36,634.50
4. Step 4: Simplify right side
   16,839x = 1,342,086,590.25
5. Step 5: Solve for x
   x = 1,342,086,590.25/16,839
6. Step 6: Final answer
   x = 79,701.09