Finding the Third Proportional to 13,682.25 and 21,755.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,682.25 : 21,755.25 = 21,755.25 : x
2. Step 2: Convert to fraction form
   13,682.25/21,755.25 = 21,755.25/x
3. Step 3: Cross multiply
   13,682.25x = 21,755.25 × 21,755.25
4. Step 4: Simplify right side
   13,682.25x = 473,290,902.56
5. Step 5: Solve for x
   x = 473,290,902.56/13,682.25
6. Step 6: Final answer
   x = 34,591.60