Finding the Third Proportional to 5,582.25 and 12,839.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,582.25 : 12,839.63 = 12,839.63 : x
2. Step 2: Convert to fraction form
   5,582.25/12,839.63 = 12,839.63/x
3. Step 3: Cross multiply
   5,582.25x = 12,839.63 × 12,839.63
4. Step 4: Simplify right side
   5,582.25x = 164,855,970.14
5. Step 5: Solve for x
   x = 164,855,970.14/5,582.25
6. Step 6: Final answer
   x = 29,532.17