Finding the Third Proportional to 23,257.13 and 33,589.69

Step by Step Solution

1. Step 1: Write the proportion equation
   23,257.13 : 33,589.69 = 33,589.69 : x
2. Step 2: Convert to fraction form
   23,257.13/33,589.69 = 33,589.69/x
3. Step 3: Cross multiply
   23,257.13x = 33,589.69 × 33,589.69
4. Step 4: Simplify right side
   23,257.13x = 1,128,267,106.35
5. Step 5: Solve for x
   x = 1,128,267,106.35/23,257.13
6. Step 6: Final answer
   x = 48,512.75