Finding the Third Proportional to 25,091 and 34,406

Step by Step Solution

1. Step 1: Write the proportion equation
   25,091 : 34,406 = 34,406 : x
2. Step 2: Convert to fraction form
   25,091/34,406 = 34,406/x
3. Step 3: Cross multiply
   25,091x = 34,406 × 34,406
4. Step 4: Simplify right side
   25,091x = 1,183,772,836
5. Step 5: Solve for x
   x = 1,183,772,836/25,091
6. Step 6: Final answer
   x = 47,179.18