Finding the Third Proportional to 25,640 and 55,184

Step by Step Solution

1. Step 1: Write the proportion equation
   25,640 : 55,184 = 55,184 : x
2. Step 2: Convert to fraction form
   25,640/55,184 = 55,184/x
3. Step 3: Cross multiply
   25,640x = 55,184 × 55,184
4. Step 4: Simplify right side
   25,640x = 3,045,273,856
5. Step 5: Solve for x
   x = 3,045,273,856/25,640
6. Step 6: Final answer
   x = 118,770.43