Finding the Third Proportional to 13,884.75 and 21,647.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,884.75 : 21,647.25 = 21,647.25 : x
2. Step 2: Convert to fraction form
   13,884.75/21,647.25 = 21,647.25/x
3. Step 3: Cross multiply
   13,884.75x = 21,647.25 × 21,647.25
4. Step 4: Simplify right side
   13,884.75x = 468,603,432.56
5. Step 5: Solve for x
   x = 468,603,432.56/13,884.75
6. Step 6: Final answer
   x = 33,749.50