Finding the Third Proportional to 25,992 and 39,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,992 : 39,172.50 = 39,172.50 : x
2. Step 2: Convert to fraction form
   25,992/39,172.50 = 39,172.50/x
3. Step 3: Cross multiply
   25,992x = 39,172.50 × 39,172.50
4. Step 4: Simplify right side
   25,992x = 1,534,484,756.25
5. Step 5: Solve for x
   x = 1,534,484,756.25/25,992
6. Step 6: Final answer
   x = 59,036.81