Finding the Third Proportional to 25,504 and 39,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,504 : 39,586.50 = 39,586.50 : x
2. Step 2: Convert to fraction form
   25,504/39,586.50 = 39,586.50/x
3. Step 3: Cross multiply
   25,504x = 39,586.50 × 39,586.50
4. Step 4: Simplify right side
   25,504x = 1,567,090,982.25
5. Step 5: Solve for x
   x = 1,567,090,982.25/25,504
6. Step 6: Final answer
   x = 61,444.91