Finding the Third Proportional to 13,884 and 21,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,884 : 21,535.50 = 21,535.50 : x
2. Step 2: Convert to fraction form
   13,884/21,535.50 = 21,535.50/x
3. Step 3: Cross multiply
   13,884x = 21,535.50 × 21,535.50
4. Step 4: Simplify right side
   13,884x = 463,777,760.25
5. Step 5: Solve for x
   x = 463,777,760.25/13,884
6. Step 6: Final answer
   x = 33,403.76