Finding the Third Proportional to 25,866 and 41,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,866 : 41,755.50 = 41,755.50 : x
2. Step 2: Convert to fraction form
   25,866/41,755.50 = 41,755.50/x
3. Step 3: Cross multiply
   25,866x = 41,755.50 × 41,755.50
4. Step 4: Simplify right side
   25,866x = 1,743,521,780.25
5. Step 5: Solve for x
   x = 1,743,521,780.25/25,866
6. Step 6: Final answer
   x = 67,405.93