Finding the Third Proportional to 25,820 and 34,836

Step by Step Solution

1. Step 1: Write the proportion equation
   25,820 : 34,836 = 34,836 : x
2. Step 2: Convert to fraction form
   25,820/34,836 = 34,836/x
3. Step 3: Cross multiply
   25,820x = 34,836 × 34,836
4. Step 4: Simplify right side
   25,820x = 1,213,546,896
5. Step 5: Solve for x
   x = 1,213,546,896/25,820
6. Step 6: Final answer
   x = 47,000.27