Finding the Third Proportional to 5,301 and 10,469

Step by Step Solution

1. Step 1: Write the proportion equation
   5,301 : 10,469 = 10,469 : x
2. Step 2: Convert to fraction form
   5,301/10,469 = 10,469/x
3. Step 3: Cross multiply
   5,301x = 10,469 × 10,469
4. Step 4: Simplify right side
   5,301x = 109,599,961
5. Step 5: Solve for x
   x = 109,599,961/5,301
6. Step 6: Final answer
   x = 20,675.34