Finding the Third Proportional to 13,821.75 and 21,917.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,821.75 : 21,917.25 = 21,917.25 : x
2. Step 2: Convert to fraction form
   13,821.75/21,917.25 = 21,917.25/x
3. Step 3: Cross multiply
   13,821.75x = 21,917.25 × 21,917.25
4. Step 4: Simplify right side
   13,821.75x = 480,365,847.56
5. Step 5: Solve for x
   x = 480,365,847.56/13,821.75
6. Step 6: Final answer
   x = 34,754.34