Finding the Third Proportional to 5,295 and 10,109

Step by Step Solution

1. Step 1: Write the proportion equation
   5,295 : 10,109 = 10,109 : x
2. Step 2: Convert to fraction form
   5,295/10,109 = 10,109/x
3. Step 3: Cross multiply
   5,295x = 10,109 × 10,109
4. Step 4: Simplify right side
   5,295x = 102,191,881
5. Step 5: Solve for x
   x = 102,191,881/5,295
6. Step 6: Final answer
   x = 19,299.69