Finding the Third Proportional to 25,927 and 55,796

Step by Step Solution

1. Step 1: Write the proportion equation
   25,927 : 55,796 = 55,796 : x
2. Step 2: Convert to fraction form
   25,927/55,796 = 55,796/x
3. Step 3: Cross multiply
   25,927x = 55,796 × 55,796
4. Step 4: Simplify right side
   25,927x = 3,113,193,616
5. Step 5: Solve for x
   x = 3,113,193,616/25,927
6. Step 6: Final answer
   x = 120,075.35