Finding the Third Proportional to 25,846 and 40,014

Step by Step Solution

1. Step 1: Write the proportion equation
   25,846 : 40,014 = 40,014 : x
2. Step 2: Convert to fraction form
   25,846/40,014 = 40,014/x
3. Step 3: Cross multiply
   25,846x = 40,014 × 40,014
4. Step 4: Simplify right side
   25,846x = 1,601,120,196
5. Step 5: Solve for x
   x = 1,601,120,196/25,846
6. Step 6: Final answer
   x = 61,948.47