Finding the Third Proportional to 25,752 and 34,492

Step by Step Solution

1. Step 1: Write the proportion equation
   25,752 : 34,492 = 34,492 : x
2. Step 2: Convert to fraction form
   25,752/34,492 = 34,492/x
3. Step 3: Cross multiply
   25,752x = 34,492 × 34,492
4. Step 4: Simplify right side
   25,752x = 1,189,698,064
5. Step 5: Solve for x
   x = 1,189,698,064/25,752
6. Step 6: Final answer
   x = 46,198.28