Finding the Third Proportional to 23,025.38 and 33,782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   23,025.38 : 33,782.63 = 33,782.63 : x
2. Step 2: Convert to fraction form
   23,025.38/33,782.63 = 33,782.63/x
3. Step 3: Cross multiply
   23,025.38x = 33,782.63 × 33,782.63
4. Step 4: Simplify right side
   23,025.38x = 1,141,265,751.89
5. Step 5: Solve for x
   x = 1,141,265,751.89/23,025.38
6. Step 6: Final answer
   x = 49,565.57