Finding the Third Proportional to 33,644.81 and 72,863.44

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644.81 : 72,863.44 = 72,863.44 : x
2. Step 2: Convert to fraction form
   33,644.81/72,863.44 = 72,863.44/x
3. Step 3: Cross multiply
   33,644.81x = 72,863.44 × 72,863.44
4. Step 4: Simplify right side
   33,644.81x = 5,309,080,524.32
5. Step 5: Solve for x
   x = 5,309,080,524.32/33,644.81
6. Step 6: Final answer
   x = 157,797.89