Finding the Third Proportional to 16,595 and 34,729

Step by Step Solution

1. Step 1: Write the proportion equation
   16,595 : 34,729 = 34,729 : x
2. Step 2: Convert to fraction form
   16,595/34,729 = 34,729/x
3. Step 3: Cross multiply
   16,595x = 34,729 × 34,729
4. Step 4: Simplify right side
   16,595x = 1,206,103,441
5. Step 5: Solve for x
   x = 1,206,103,441/16,595
6. Step 6: Final answer
   x = 72,678.72