Finding the Third Proportional to 25,205 and 53,008

Step by Step Solution

1. Step 1: Write the proportion equation
   25,205 : 53,008 = 53,008 : x
2. Step 2: Convert to fraction form
   25,205/53,008 = 53,008/x
3. Step 3: Cross multiply
   25,205x = 53,008 × 53,008
4. Step 4: Simplify right side
   25,205x = 2,809,848,064
5. Step 5: Solve for x
   x = 2,809,848,064/25,205
6. Step 6: Final answer
   x = 111,479.79