Finding the Third Proportional to 25,854 and 39,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,854 : 39,532.50 = 39,532.50 : x
2. Step 2: Convert to fraction form
   25,854/39,532.50 = 39,532.50/x
3. Step 3: Cross multiply
   25,854x = 39,532.50 × 39,532.50
4. Step 4: Simplify right side
   25,854x = 1,562,818,556.25
5. Step 5: Solve for x
   x = 1,562,818,556.25/25,854
6. Step 6: Final answer
   x = 60,447.84