Finding the Third Proportional to 13,821.75 and 21,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,821.75 : 21,622.50 = 21,622.50 : x
2. Step 2: Convert to fraction form
   13,821.75/21,622.50 = 21,622.50/x
3. Step 3: Cross multiply
   13,821.75x = 21,622.50 × 21,622.50
4. Step 4: Simplify right side
   13,821.75x = 467,532,506.25
5. Step 5: Solve for x
   x = 467,532,506.25/13,821.75
6. Step 6: Final answer
   x = 33,825.85