Finding the Third Proportional to 6,506 and 13,976

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506 : 13,976 = 13,976 : x
2. Step 2: Convert to fraction form
   6,506/13,976 = 13,976/x
3. Step 3: Cross multiply
   6,506x = 13,976 × 13,976
4. Step 4: Simplify right side
   6,506x = 195,328,576
5. Step 5: Solve for x
   x = 195,328,576/6,506
6. Step 6: Final answer
   x = 30,022.84