Finding the Third Proportional to 25,763 and 40,826

Step by Step Solution

1. Step 1: Write the proportion equation
   25,763 : 40,826 = 40,826 : x
2. Step 2: Convert to fraction form
   25,763/40,826 = 40,826/x
3. Step 3: Cross multiply
   25,763x = 40,826 × 40,826
4. Step 4: Simplify right side
   25,763x = 1,666,762,276
5. Step 5: Solve for x
   x = 1,666,762,276/25,763
6. Step 6: Final answer
   x = 64,695.97