Finding the Third Proportional to 13,378.29 and 20,759.41

Step by Step Solution

1. Step 1: Write the proportion equation
   13,378.29 : 20,759.41 = 20,759.41 : x
2. Step 2: Convert to fraction form
   13,378.29/20,759.41 = 20,759.41/x
3. Step 3: Cross multiply
   13,378.29x = 20,759.41 × 20,759.41
4. Step 4: Simplify right side
   13,378.29x = 430,953,272.22
5. Step 5: Solve for x
   x = 430,953,272.22/13,378.29
6. Step 6: Final answer
   x = 32,212.88