Finding the Third Proportional to 15,728 and 23,590

Step by Step Solution

1. Step 1: Write the proportion equation
   15,728 : 23,590 = 23,590 : x
2. Step 2: Convert to fraction form
   15,728/23,590 = 23,590/x
3. Step 3: Cross multiply
   15,728x = 23,590 × 23,590
4. Step 4: Simplify right side
   15,728x = 556,488,100
5. Step 5: Solve for x
   x = 556,488,100/15,728
6. Step 6: Final answer
   x = 35,382.00