Finding the Third Proportional to 6,524 and 14,111

Step by Step Solution

1. Step 1: Write the proportion equation
   6,524 : 14,111 = 14,111 : x
2. Step 2: Convert to fraction form
   6,524/14,111 = 14,111/x
3. Step 3: Cross multiply
   6,524x = 14,111 × 14,111
4. Step 4: Simplify right side
   6,524x = 199,120,321
5. Step 5: Solve for x
   x = 199,120,321/6,524
6. Step 6: Final answer
   x = 30,521.20