Finding the Third Proportional to 13,584 and 20,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,584 : 20,653.50 = 20,653.50 : x
2. Step 2: Convert to fraction form
   13,584/20,653.50 = 20,653.50/x
3. Step 3: Cross multiply
   13,584x = 20,653.50 × 20,653.50
4. Step 4: Simplify right side
   13,584x = 426,567,062.25
5. Step 5: Solve for x
   x = 426,567,062.25/13,584
6. Step 6: Final answer
   x = 31,402.17