Finding the Third Proportional to 13,584 and 21,030

Step by Step Solution

1. Step 1: Write the proportion equation
   13,584 : 21,030 = 21,030 : x
2. Step 2: Convert to fraction form
   13,584/21,030 = 21,030/x
3. Step 3: Cross multiply
   13,584x = 21,030 × 21,030
4. Step 4: Simplify right side
   13,584x = 442,260,900
5. Step 5: Solve for x
   x = 442,260,900/13,584
6. Step 6: Final answer
   x = 32,557.49