Finding the Third Proportional to 25,186 and 34,083

Step by Step Solution

1. Step 1: Write the proportion equation
   25,186 : 34,083 = 34,083 : x
2. Step 2: Convert to fraction form
   25,186/34,083 = 34,083/x
3. Step 3: Cross multiply
   25,186x = 34,083 × 34,083
4. Step 4: Simplify right side
   25,186x = 1,161,650,889
5. Step 5: Solve for x
   x = 1,161,650,889/25,186
6. Step 6: Final answer
   x = 46,122.88