Finding the Third Proportional to 13,500 and 21,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 21,133.50 = 21,133.50 : x
2. Step 2: Convert to fraction form
   13,500/21,133.50 = 21,133.50/x
3. Step 3: Cross multiply
   13,500x = 21,133.50 × 21,133.50
4. Step 4: Simplify right side
   13,500x = 446,624,822.25
5. Step 5: Solve for x
   x = 446,624,822.25/13,500
6. Step 6: Final answer
   x = 33,083.32