Finding the Third Proportional to 5,945.91 and 14,086.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,945.91 : 14,086.41 = 14,086.41 : x
2. Step 2: Convert to fraction form
   5,945.91/14,086.41 = 14,086.41/x
3. Step 3: Cross multiply
   5,945.91x = 14,086.41 × 14,086.41
4. Step 4: Simplify right side
   5,945.91x = 198,426,841.04
5. Step 5: Solve for x
   x = 198,426,841.04/5,945.91
6. Step 6: Final answer
   x = 33,372.01