Finding the Third Proportional to 7,006 and 10,054

Step by Step Solution

1. Step 1: Write the proportion equation
   7,006 : 10,054 = 10,054 : x
2. Step 2: Convert to fraction form
   7,006/10,054 = 10,054/x
3. Step 3: Cross multiply
   7,006x = 10,054 × 10,054
4. Step 4: Simplify right side
   7,006x = 101,082,916
5. Step 5: Solve for x
   x = 101,082,916/7,006
6. Step 6: Final answer
   x = 14,428.05