Finding the Third Proportional to 13,684.50 and 21,489.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,684.50 : 21,489.75 = 21,489.75 : x
2. Step 2: Convert to fraction form
   13,684.50/21,489.75 = 21,489.75/x
3. Step 3: Cross multiply
   13,684.50x = 21,489.75 × 21,489.75
4. Step 4: Simplify right side
   13,684.50x = 461,809,355.06
5. Step 5: Solve for x
   x = 461,809,355.06/13,684.50
6. Step 6: Final answer
   x = 33,746.89