Finding the Third Proportional to 12,584 and 19,502

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 19,502 = 19,502 : x
2. Step 2: Convert to fraction form
   12,584/19,502 = 19,502/x
3. Step 3: Cross multiply
   12,584x = 19,502 × 19,502
4. Step 4: Simplify right side
   12,584x = 380,328,004
5. Step 5: Solve for x
   x = 380,328,004/12,584
6. Step 6: Final answer
   x = 30,223.14