Finding the Third Proportional to 14,584 and 21,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584 : 21,568.50 = 21,568.50 : x
2. Step 2: Convert to fraction form
   14,584/21,568.50 = 21,568.50/x
3. Step 3: Cross multiply
   14,584x = 21,568.50 × 21,568.50
4. Step 4: Simplify right side
   14,584x = 465,200,192.25
5. Step 5: Solve for x
   x = 465,200,192.25/14,584
6. Step 6: Final answer
   x = 31,897.98