Finding the Third Proportional to 25,213 and 34,116

Step by Step Solution

1. Step 1: Write the proportion equation
   25,213 : 34,116 = 34,116 : x
2. Step 2: Convert to fraction form
   25,213/34,116 = 34,116/x
3. Step 3: Cross multiply
   25,213x = 34,116 × 34,116
4. Step 4: Simplify right side
   25,213x = 1,163,901,456
5. Step 5: Solve for x
   x = 1,163,901,456/25,213
6. Step 6: Final answer
   x = 46,162.75