Finding the Third Proportional to 16,769 and 41,664

Step by Step Solution

1. Step 1: Write the proportion equation
   16,769 : 41,664 = 41,664 : x
2. Step 2: Convert to fraction form
   16,769/41,664 = 41,664/x
3. Step 3: Cross multiply
   16,769x = 41,664 × 41,664
4. Step 4: Simplify right side
   16,769x = 1,735,888,896
5. Step 5: Solve for x
   x = 1,735,888,896/16,769
6. Step 6: Final answer
   x = 103,517.73