Finding the Third Proportional to 25,164 and 53,326

Step by Step Solution

1. Step 1: Write the proportion equation
   25,164 : 53,326 = 53,326 : x
2. Step 2: Convert to fraction form
   25,164/53,326 = 53,326/x
3. Step 3: Cross multiply
   25,164x = 53,326 × 53,326
4. Step 4: Simplify right side
   25,164x = 2,843,662,276
5. Step 5: Solve for x
   x = 2,843,662,276/25,164
6. Step 6: Final answer
   x = 113,005.18