Finding the Third Proportional to 25,589 and 39,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,589 : 39,005.50 = 39,005.50 : x
2. Step 2: Convert to fraction form
   25,589/39,005.50 = 39,005.50/x
3. Step 3: Cross multiply
   25,589x = 39,005.50 × 39,005.50
4. Step 4: Simplify right side
   25,589x = 1,521,429,030.25
5. Step 5: Solve for x
   x = 1,521,429,030.25/25,589
6. Step 6: Final answer
   x = 59,456.37