Finding the Third Proportional to 5,853.94 and 13,852.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,853.94 : 13,852.69 = 13,852.69 : x
2. Step 2: Convert to fraction form
   5,853.94/13,852.69 = 13,852.69/x
3. Step 3: Cross multiply
   5,853.94x = 13,852.69 × 13,852.69
4. Step 4: Simplify right side
   5,853.94x = 191,896,950.97
5. Step 5: Solve for x
   x = 191,896,950.97/5,853.94
6. Step 6: Final answer
   x = 32,780.83