Finding the Third Proportional to 25,883.50 and 38,785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,883.50 : 38,785.25 = 38,785.25 : x
2. Step 2: Convert to fraction form
   25,883.50/38,785.25 = 38,785.25/x
3. Step 3: Cross multiply
   25,883.50x = 38,785.25 × 38,785.25
4. Step 4: Simplify right side
   25,883.50x = 1,504,295,617.56
5. Step 5: Solve for x
   x = 1,504,295,617.56/25,883.50
6. Step 6: Final answer
   x = 58,117.94