Finding the Third Proportional to 25,886.25 and 39,582

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886.25 : 39,582 = 39,582 : x
2. Step 2: Convert to fraction form
   25,886.25/39,582 = 39,582/x
3. Step 3: Cross multiply
   25,886.25x = 39,582 × 39,582
4. Step 4: Simplify right side
   25,886.25x = 1,566,734,724
5. Step 5: Solve for x
   x = 1,566,734,724/25,886.25
6. Step 6: Final answer
   x = 60,523.82