Finding the Third Proportional to 25,174 and 52,796

Step by Step Solution

1. Step 1: Write the proportion equation
   25,174 : 52,796 = 52,796 : x
2. Step 2: Convert to fraction form
   25,174/52,796 = 52,796/x
3. Step 3: Cross multiply
   25,174x = 52,796 × 52,796
4. Step 4: Simplify right side
   25,174x = 2,787,417,616
5. Step 5: Solve for x
   x = 2,787,417,616/25,174
6. Step 6: Final answer
   x = 110,726.05