Finding the Third Proportional to 25,609 and 53,262

Step by Step Solution

1. Step 1: Write the proportion equation
   25,609 : 53,262 = 53,262 : x
2. Step 2: Convert to fraction form
   25,609/53,262 = 53,262/x
3. Step 3: Cross multiply
   25,609x = 53,262 × 53,262
4. Step 4: Simplify right side
   25,609x = 2,836,840,644
5. Step 5: Solve for x
   x = 2,836,840,644/25,609
6. Step 6: Final answer
   x = 110,775.14