Finding the Third Proportional to 25,880 and 55,726

Step by Step Solution

1. Step 1: Write the proportion equation
   25,880 : 55,726 = 55,726 : x
2. Step 2: Convert to fraction form
   25,880/55,726 = 55,726/x
3. Step 3: Cross multiply
   25,880x = 55,726 × 55,726
4. Step 4: Simplify right side
   25,880x = 3,105,387,076
5. Step 5: Solve for x
   x = 3,105,387,076/25,880
6. Step 6: Final answer
   x = 119,991.77