Finding the Third Proportional to 16,485 and 34,138

Step by Step Solution

1. Step 1: Write the proportion equation
   16,485 : 34,138 = 34,138 : x
2. Step 2: Convert to fraction form
   16,485/34,138 = 34,138/x
3. Step 3: Cross multiply
   16,485x = 34,138 × 34,138
4. Step 4: Simplify right side
   16,485x = 1,165,403,044
5. Step 5: Solve for x
   x = 1,165,403,044/16,485
6. Step 6: Final answer
   x = 70,694.76