Finding the Third Proportional to 13,509.66 and 21,582.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,509.66 : 21,582.09 = 21,582.09 : x
2. Step 2: Convert to fraction form
   13,509.66/21,582.09 = 21,582.09/x
3. Step 3: Cross multiply
   13,509.66x = 21,582.09 × 21,582.09
4. Step 4: Simplify right side
   13,509.66x = 465,786,770.63
5. Step 5: Solve for x
   x = 465,786,770.63/13,509.66
6. Step 6: Final answer
   x = 34,478.06