Finding the Third Proportional to 5,007 and 10,365

Step by Step Solution

1. Step 1: Write the proportion equation
   5,007 : 10,365 = 10,365 : x
2. Step 2: Convert to fraction form
   5,007/10,365 = 10,365/x
3. Step 3: Cross multiply
   5,007x = 10,365 × 10,365
4. Step 4: Simplify right side
   5,007x = 107,433,225
5. Step 5: Solve for x
   x = 107,433,225/5,007
6. Step 6: Final answer
   x = 21,456.61