Finding the Third Proportional to 25,597.50 and 39,548.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,597.50 : 39,548.25 = 39,548.25 : x
2. Step 2: Convert to fraction form
   25,597.50/39,548.25 = 39,548.25/x
3. Step 3: Cross multiply
   25,597.50x = 39,548.25 × 39,548.25
4. Step 4: Simplify right side
   25,597.50x = 1,564,064,078.06
5. Step 5: Solve for x
   x = 1,564,064,078.06/25,597.50
6. Step 6: Final answer
   x = 61,102.22