Finding the Third Proportional to 7,694 and 16,300

Step by Step Solution

1. Step 1: Write the proportion equation
   7,694 : 16,300 = 16,300 : x
2. Step 2: Convert to fraction form
   7,694/16,300 = 16,300/x
3. Step 3: Cross multiply
   7,694x = 16,300 × 16,300
4. Step 4: Simplify right side
   7,694x = 265,690,000
5. Step 5: Solve for x
   x = 265,690,000/7,694
6. Step 6: Final answer
   x = 34,532.10