Finding the Third Proportional to 4,612 and 10,069

Step by Step Solution

1. Step 1: Write the proportion equation
   4,612 : 10,069 = 10,069 : x
2. Step 2: Convert to fraction form
   4,612/10,069 = 10,069/x
3. Step 3: Cross multiply
   4,612x = 10,069 × 10,069
4. Step 4: Simplify right side
   4,612x = 101,384,761
5. Step 5: Solve for x
   x = 101,384,761/4,612
6. Step 6: Final answer
   x = 21,982.82