Finding the Third Proportional to 16,588 and 34,150

Step by Step Solution

1. Step 1: Write the proportion equation
   16,588 : 34,150 = 34,150 : x
2. Step 2: Convert to fraction form
   16,588/34,150 = 34,150/x
3. Step 3: Cross multiply
   16,588x = 34,150 × 34,150
4. Step 4: Simplify right side
   16,588x = 1,166,222,500
5. Step 5: Solve for x
   x = 1,166,222,500/16,588
6. Step 6: Final answer
   x = 70,305.19