Finding the Third Proportional to 25,893 and 41,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,893 : 41,215.50 = 41,215.50 : x
2. Step 2: Convert to fraction form
   25,893/41,215.50 = 41,215.50/x
3. Step 3: Cross multiply
   25,893x = 41,215.50 × 41,215.50
4. Step 4: Simplify right side
   25,893x = 1,698,717,440.25
5. Step 5: Solve for x
   x = 1,698,717,440.25/25,893
6. Step 6: Final answer
   x = 65,605.28