Finding the Third Proportional to 5,782.22 and 12,385.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,782.22 : 12,385.41 = 12,385.41 : x
2. Step 2: Convert to fraction form
   5,782.22/12,385.41 = 12,385.41/x
3. Step 3: Cross multiply
   5,782.22x = 12,385.41 × 12,385.41
4. Step 4: Simplify right side
   5,782.22x = 153,398,287.98
5. Step 5: Solve for x
   x = 153,398,287.98/5,782.22
6. Step 6: Final answer
   x = 26,529.31