Finding the Third Proportional to 6,002 and 10,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002 : 10,052.50 = 10,052.50 : x
2. Step 2: Convert to fraction form
   6,002/10,052.50 = 10,052.50/x
3. Step 3: Cross multiply
   6,002x = 10,052.50 × 10,052.50
4. Step 4: Simplify right side
   6,002x = 101,052,756.25
5. Step 5: Solve for x
   x = 101,052,756.25/6,002
6. Step 6: Final answer
   x = 16,836.51