Finding the Third Proportional to 6,527 and 13,978

Step by Step Solution

1. Step 1: Write the proportion equation
   6,527 : 13,978 = 13,978 : x
2. Step 2: Convert to fraction form
   6,527/13,978 = 13,978/x
3. Step 3: Cross multiply
   6,527x = 13,978 × 13,978
4. Step 4: Simplify right side
   6,527x = 195,384,484
5. Step 5: Solve for x
   x = 195,384,484/6,527
6. Step 6: Final answer
   x = 29,934.81