Finding the Third Proportional to 16,749 and 34,653

Step by Step Solution

1. Step 1: Write the proportion equation
   16,749 : 34,653 = 34,653 : x
2. Step 2: Convert to fraction form
   16,749/34,653 = 34,653/x
3. Step 3: Cross multiply
   16,749x = 34,653 × 34,653
4. Step 4: Simplify right side
   16,749x = 1,200,830,409
5. Step 5: Solve for x
   x = 1,200,830,409/16,749
6. Step 6: Final answer
   x = 71,695.65