Finding the Third Proportional to 6,172.88 and 10,029.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,172.88 : 10,029.38 = 10,029.38 : x
2. Step 2: Convert to fraction form
   6,172.88/10,029.38 = 10,029.38/x
3. Step 3: Cross multiply
   6,172.88x = 10,029.38 × 10,029.38
4. Step 4: Simplify right side
   6,172.88x = 100,588,362.89
5. Step 5: Solve for x
   x = 100,588,362.89/6,172.88
6. Step 6: Final answer
   x = 16,295.22