Finding the Third Proportional to 25,905.25 and 38,004.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,905.25 : 38,004.75 = 38,004.75 : x
2. Step 2: Convert to fraction form
   25,905.25/38,004.75 = 38,004.75/x
3. Step 3: Cross multiply
   25,905.25x = 38,004.75 × 38,004.75
4. Step 4: Simplify right side
   25,905.25x = 1,444,361,022.56
5. Step 5: Solve for x
   x = 1,444,361,022.56/25,905.25
6. Step 6: Final answer
   x = 55,755.53