Finding the Third Proportional to 6,501 and 14,034

Step by Step Solution

1. Step 1: Write the proportion equation
   6,501 : 14,034 = 14,034 : x
2. Step 2: Convert to fraction form
   6,501/14,034 = 14,034/x
3. Step 3: Cross multiply
   6,501x = 14,034 × 14,034
4. Step 4: Simplify right side
   6,501x = 196,953,156
5. Step 5: Solve for x
   x = 196,953,156/6,501
6. Step 6: Final answer
   x = 30,295.82