Finding the Third Proportional to 13,584 and 21,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,584 : 21,613.50 = 21,613.50 : x
2. Step 2: Convert to fraction form
   13,584/21,613.50 = 21,613.50/x
3. Step 3: Cross multiply
   13,584x = 21,613.50 × 21,613.50
4. Step 4: Simplify right side
   13,584x = 467,143,382.25
5. Step 5: Solve for x
   x = 467,143,382.25/13,584
6. Step 6: Final answer
   x = 34,389.24