Finding the Third Proportional to 13,294.44 and 20,582.70

Step by Step Solution

1. Step 1: Write the proportion equation
   13,294.44 : 20,582.70 = 20,582.70 : x
2. Step 2: Convert to fraction form
   13,294.44/20,582.70 = 20,582.70/x
3. Step 3: Cross multiply
   13,294.44x = 20,582.70 × 20,582.70
4. Step 4: Simplify right side
   13,294.44x = 423,647,587.53
5. Step 5: Solve for x
   x = 423,647,587.53/13,294.44
6. Step 6: Final answer
   x = 31,866.52