Finding the Third Proportional to 25,822 and 34,846

Step by Step Solution

1. Step 1: Write the proportion equation
   25,822 : 34,846 = 34,846 : x
2. Step 2: Convert to fraction form
   25,822/34,846 = 34,846/x
3. Step 3: Cross multiply
   25,822x = 34,846 × 34,846
4. Step 4: Simplify right side
   25,822x = 1,214,243,716
5. Step 5: Solve for x
   x = 1,214,243,716/25,822
6. Step 6: Final answer
   x = 47,023.61