Finding the Third Proportional to 25,680 and 53,844

Step by Step Solution

1. Step 1: Write the proportion equation
   25,680 : 53,844 = 53,844 : x
2. Step 2: Convert to fraction form
   25,680/53,844 = 53,844/x
3. Step 3: Cross multiply
   25,680x = 53,844 × 53,844
4. Step 4: Simplify right side
   25,680x = 2,899,176,336
5. Step 5: Solve for x
   x = 2,899,176,336/25,680
6. Step 6: Final answer
   x = 112,896.27