Finding the Third Proportional to 6,566 and 13,870

Step by Step Solution

1. Step 1: Write the proportion equation
   6,566 : 13,870 = 13,870 : x
2. Step 2: Convert to fraction form
   6,566/13,870 = 13,870/x
3. Step 3: Cross multiply
   6,566x = 13,870 × 13,870
4. Step 4: Simplify right side
   6,566x = 192,376,900
5. Step 5: Solve for x
   x = 192,376,900/6,566
6. Step 6: Final answer
   x = 29,298.95