Finding the Third Proportional to 25,184 and 34,212

Step by Step Solution

1. Step 1: Write the proportion equation
   25,184 : 34,212 = 34,212 : x
2. Step 2: Convert to fraction form
   25,184/34,212 = 34,212/x
3. Step 3: Cross multiply
   25,184x = 34,212 × 34,212
4. Step 4: Simplify right side
   25,184x = 1,170,460,944
5. Step 5: Solve for x
   x = 1,170,460,944/25,184
6. Step 6: Final answer
   x = 46,476.37