Finding the Third Proportional to 8,582.63 and 17,715.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,582.63 : 17,715.38 = 17,715.38 : x
2. Step 2: Convert to fraction form
   8,582.63/17,715.38 = 17,715.38/x
3. Step 3: Cross multiply
   8,582.63x = 17,715.38 × 17,715.38
4. Step 4: Simplify right side
   8,582.63x = 313,834,511.39
5. Step 5: Solve for x
   x = 313,834,511.39/8,582.63
6. Step 6: Final answer
   x = 36,566.26