Finding the Third Proportional to 16,578 and 34,758

Step by Step Solution

1. Step 1: Write the proportion equation
   16,578 : 34,758 = 34,758 : x
2. Step 2: Convert to fraction form
   16,578/34,758 = 34,758/x
3. Step 3: Cross multiply
   16,578x = 34,758 × 34,758
4. Step 4: Simplify right side
   16,578x = 1,208,118,564
5. Step 5: Solve for x
   x = 1,208,118,564/16,578
6. Step 6: Final answer
   x = 72,874.81