Finding the Third Proportional to 9,705 and 21,588

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705 : 21,588 = 21,588 : x
2. Step 2: Convert to fraction form
   9,705/21,588 = 21,588/x
3. Step 3: Cross multiply
   9,705x = 21,588 × 21,588
4. Step 4: Simplify right side
   9,705x = 466,041,744
5. Step 5: Solve for x
   x = 466,041,744/9,705
6. Step 6: Final answer
   x = 48,020.79