Finding the Third Proportional to 11,788 and 25,208

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788 : 25,208 = 25,208 : x
2. Step 2: Convert to fraction form
   11,788/25,208 = 25,208/x
3. Step 3: Cross multiply
   11,788x = 25,208 × 25,208
4. Step 4: Simplify right side
   11,788x = 635,443,264
5. Step 5: Solve for x
   x = 635,443,264/11,788
6. Step 6: Final answer
   x = 53,905.94