Finding the Third Proportional to 17,855 and 25,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,855 : 25,507.50 = 25,507.50 : x
2. Step 2: Convert to fraction form
   17,855/25,507.50 = 25,507.50/x
3. Step 3: Cross multiply
   17,855x = 25,507.50 × 25,507.50
4. Step 4: Simplify right side
   17,855x = 650,632,556.25
5. Step 5: Solve for x
   x = 650,632,556.25/17,855
6. Step 6: Final answer
   x = 36,439.80