Finding the Third Proportional to 25,738 and 55,536

Step by Step Solution

1. Step 1: Write the proportion equation
   25,738 : 55,536 = 55,536 : x
2. Step 2: Convert to fraction form
   25,738/55,536 = 55,536/x
3. Step 3: Cross multiply
   25,738x = 55,536 × 55,536
4. Step 4: Simplify right side
   25,738x = 3,084,247,296
5. Step 5: Solve for x
   x = 3,084,247,296/25,738
6. Step 6: Final answer
   x = 119,832.44