Finding the Third Proportional to 13,200 and 19,528

Step by Step Solution

1. Step 1: Write the proportion equation
   13,200 : 19,528 = 19,528 : x
2. Step 2: Convert to fraction form
   13,200/19,528 = 19,528/x
3. Step 3: Cross multiply
   13,200x = 19,528 × 19,528
4. Step 4: Simplify right side
   13,200x = 381,342,784
5. Step 5: Solve for x
   x = 381,342,784/13,200
6. Step 6: Final answer
   x = 28,889.60