Finding the Third Proportional to 13,294.41 and 20,582.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,294.41 : 20,582.72 = 20,582.72 : x
2. Step 2: Convert to fraction form
   13,294.41/20,582.72 = 20,582.72/x
3. Step 3: Cross multiply
   13,294.41x = 20,582.72 × 20,582.72
4. Step 4: Simplify right side
   13,294.41x = 423,648,311.14
5. Step 5: Solve for x
   x = 423,648,311.14/13,294.41
6. Step 6: Final answer
   x = 31,866.66