Finding the Third Proportional to 10,310 and 14,005

Step by Step Solution

1. Step 1: Write the proportion equation
   10,310 : 14,005 = 14,005 : x
2. Step 2: Convert to fraction form
   10,310/14,005 = 14,005/x
3. Step 3: Cross multiply
   10,310x = 14,005 × 14,005
4. Step 4: Simplify right side
   10,310x = 196,140,025
5. Step 5: Solve for x
   x = 196,140,025/10,310
6. Step 6: Final answer
   x = 19,024.25