Finding the Third Proportional to 33,814.13 and 72,317.81

Step by Step Solution

1. Step 1: Write the proportion equation
   33,814.13 : 72,317.81 = 72,317.81 : x
2. Step 2: Convert to fraction form
   33,814.13/72,317.81 = 72,317.81/x
3. Step 3: Cross multiply
   33,814.13x = 72,317.81 × 72,317.81
4. Step 4: Simplify right side
   33,814.13x = 5,229,866,004.79
5. Step 5: Solve for x
   x = 5,229,866,004.79/33,814.13
6. Step 6: Final answer
   x = 154,665.13