Finding the Third Proportional to 5,184 and 12,528

Step by Step Solution

1. Step 1: Write the proportion equation
   5,184 : 12,528 = 12,528 : x
2. Step 2: Convert to fraction form
   5,184/12,528 = 12,528/x
3. Step 3: Cross multiply
   5,184x = 12,528 × 12,528
4. Step 4: Simplify right side
   5,184x = 156,950,784
5. Step 5: Solve for x
   x = 156,950,784/5,184
6. Step 6: Final answer
   x = 30,276