Finding the Third Proportional to 25,238 and 53,788

Step by Step Solution

1. Step 1: Write the proportion equation
   25,238 : 53,788 = 53,788 : x
2. Step 2: Convert to fraction form
   25,238/53,788 = 53,788/x
3. Step 3: Cross multiply
   25,238x = 53,788 × 53,788
4. Step 4: Simplify right side
   25,238x = 2,893,148,944
5. Step 5: Solve for x
   x = 2,893,148,944/25,238
6. Step 6: Final answer
   x = 114,634.64