Finding the Third Proportional to 5,535.84 and 12,142.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,535.84 : 12,142.41 = 12,142.41 : x
2. Step 2: Convert to fraction form
   5,535.84/12,142.41 = 12,142.41/x
3. Step 3: Cross multiply
   5,535.84x = 12,142.41 × 12,142.41
4. Step 4: Simplify right side
   5,535.84x = 147,438,029.54
5. Step 5: Solve for x
   x = 147,438,029.54/5,535.84
6. Step 6: Final answer
   x = 26,633.34