Finding the Third Proportional to 6,002 and 14,501

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002 : 14,501 = 14,501 : x
2. Step 2: Convert to fraction form
   6,002/14,501 = 14,501/x
3. Step 3: Cross multiply
   6,002x = 14,501 × 14,501
4. Step 4: Simplify right side
   6,002x = 210,279,001
5. Step 5: Solve for x
   x = 210,279,001/6,002
6. Step 6: Final answer
   x = 35,034.82