Finding the Third Proportional to 25,939 and 39,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,939 : 39,556.50 = 39,556.50 : x
2. Step 2: Convert to fraction form
   25,939/39,556.50 = 39,556.50/x
3. Step 3: Cross multiply
   25,939x = 39,556.50 × 39,556.50
4. Step 4: Simplify right side
   25,939x = 1,564,716,692.25
5. Step 5: Solve for x
   x = 1,564,716,692.25/25,939
6. Step 6: Final answer
   x = 60,322.94