Finding the Third Proportional to 11,774 and 25,735

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774 : 25,735 = 25,735 : x
2. Step 2: Convert to fraction form
   11,774/25,735 = 25,735/x
3. Step 3: Cross multiply
   11,774x = 25,735 × 25,735
4. Step 4: Simplify right side
   11,774x = 662,290,225
5. Step 5: Solve for x
   x = 662,290,225/11,774
6. Step 6: Final answer
   x = 56,250.23