Finding the Third Proportional to 5,419.41 and 8,106.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,419.41 : 8,106.33 = 8,106.33 : x
2. Step 2: Convert to fraction form
   5,419.41/8,106.33 = 8,106.33/x
3. Step 3: Cross multiply
   5,419.41x = 8,106.33 × 8,106.33
4. Step 4: Simplify right side
   5,419.41x = 65,712,555.67
5. Step 5: Solve for x
   x = 65,712,555.67/5,419.41
6. Step 6: Final answer
   x = 12,125.42