Finding the Third Proportional to 12,338.25 and 17,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,338.25 : 17,584.50 = 17,584.50 : x
2. Step 2: Convert to fraction form
   12,338.25/17,584.50 = 17,584.50/x
3. Step 3: Cross multiply
   12,338.25x = 17,584.50 × 17,584.50
4. Step 4: Simplify right side
   12,338.25x = 309,214,640.25
5. Step 5: Solve for x
   x = 309,214,640.25/12,338.25
6. Step 6: Final answer
   x = 25,061.47