Finding the Third Proportional to 13,997.25 and 21,705.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,997.25 : 21,705.75 = 21,705.75 : x
2. Step 2: Convert to fraction form
   13,997.25/21,705.75 = 21,705.75/x
3. Step 3: Cross multiply
   13,997.25x = 21,705.75 × 21,705.75
4. Step 4: Simplify right side
   13,997.25x = 471,139,583.06
5. Step 5: Solve for x
   x = 471,139,583.06/13,997.25
6. Step 6: Final answer
   x = 33,659.44