Finding the Third Proportional to 25,729.50 and 38,486.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,729.50 : 38,486.25 = 38,486.25 : x
2. Step 2: Convert to fraction form
   25,729.50/38,486.25 = 38,486.25/x
3. Step 3: Cross multiply
   25,729.50x = 38,486.25 × 38,486.25
4. Step 4: Simplify right side
   25,729.50x = 1,481,191,439.06
5. Step 5: Solve for x
   x = 1,481,191,439.06/25,729.50
6. Step 6: Final answer
   x = 57,567.83