Finding the Third Proportional to 12,582.84 and 17,635.22

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582.84 : 17,635.22 = 17,635.22 : x
2. Step 2: Convert to fraction form
   12,582.84/17,635.22 = 17,635.22/x
3. Step 3: Cross multiply
   12,582.84x = 17,635.22 × 17,635.22
4. Step 4: Simplify right side
   12,582.84x = 311,000,940.36
5. Step 5: Solve for x
   x = 311,000,940.36/12,582.84
6. Step 6: Final answer
   x = 24,716.27