Finding the Third Proportional to 16,758 and 34,896

Step by Step Solution

1. Step 1: Write the proportion equation
   16,758 : 34,896 = 34,896 : x
2. Step 2: Convert to fraction form
   16,758/34,896 = 34,896/x
3. Step 3: Cross multiply
   16,758x = 34,896 × 34,896
4. Step 4: Simplify right side
   16,758x = 1,217,730,816
5. Step 5: Solve for x
   x = 1,217,730,816/16,758
6. Step 6: Final answer
   x = 72,665.64