Finding the Third Proportional to 13,833 and 21,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,833 : 21,478.50 = 21,478.50 : x
2. Step 2: Convert to fraction form
   13,833/21,478.50 = 21,478.50/x
3. Step 3: Cross multiply
   13,833x = 21,478.50 × 21,478.50
4. Step 4: Simplify right side
   13,833x = 461,325,962.25
5. Step 5: Solve for x
   x = 461,325,962.25/13,833
6. Step 6: Final answer
   x = 33,349.67