Finding the Third Proportional to 5,842.13 and 14,159.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,842.13 : 14,159.81 = 14,159.81 : x
2. Step 2: Convert to fraction form
   5,842.13/14,159.81 = 14,159.81/x
3. Step 3: Cross multiply
   5,842.13x = 14,159.81 × 14,159.81
4. Step 4: Simplify right side
   5,842.13x = 200,500,290.04
5. Step 5: Solve for x
   x = 200,500,290.04/5,842.13
6. Step 6: Final answer
   x = 34,319.75