Finding the Third Proportional to 25,275 and 53,826

Step by Step Solution

1. Step 1: Write the proportion equation
   25,275 : 53,826 = 53,826 : x
2. Step 2: Convert to fraction form
   25,275/53,826 = 53,826/x
3. Step 3: Cross multiply
   25,275x = 53,826 × 53,826
4. Step 4: Simplify right side
   25,275x = 2,897,238,276
5. Step 5: Solve for x
   x = 2,897,238,276/25,275
6. Step 6: Final answer
   x = 114,628.62