Finding the Third Proportional to 6,940 and 10,583

Step by Step Solution

1. Step 1: Write the proportion equation
   6,940 : 10,583 = 10,583 : x
2. Step 2: Convert to fraction form
   6,940/10,583 = 10,583/x
3. Step 3: Cross multiply
   6,940x = 10,583 × 10,583
4. Step 4: Simplify right side
   6,940x = 111,999,889
5. Step 5: Solve for x
   x = 111,999,889/6,940
6. Step 6: Final answer
   x = 16,138.31