Finding the Third Proportional to 13,184 and 28,648

Step by Step Solution

1. Step 1: Write the proportion equation
   13,184 : 28,648 = 28,648 : x
2. Step 2: Convert to fraction form
   13,184/28,648 = 28,648/x
3. Step 3: Cross multiply
   13,184x = 28,648 × 28,648
4. Step 4: Simplify right side
   13,184x = 820,707,904
5. Step 5: Solve for x
   x = 820,707,904/13,184
6. Step 6: Final answer
   x = 62,250.30