Finding the Third Proportional to 25,789 and 55,788

Step by Step Solution

1. Step 1: Write the proportion equation
   25,789 : 55,788 = 55,788 : x
2. Step 2: Convert to fraction form
   25,789/55,788 = 55,788/x
3. Step 3: Cross multiply
   25,789x = 55,788 × 55,788
4. Step 4: Simplify right side
   25,789x = 3,112,300,944
5. Step 5: Solve for x
   x = 3,112,300,944/25,789
6. Step 6: Final answer
   x = 120,683.27