Finding the Third Proportional to 25,665 and 53,346

Step by Step Solution

1. Step 1: Write the proportion equation
   25,665 : 53,346 = 53,346 : x
2. Step 2: Convert to fraction form
   25,665/53,346 = 53,346/x
3. Step 3: Cross multiply
   25,665x = 53,346 × 53,346
4. Step 4: Simplify right side
   25,665x = 2,845,795,716
5. Step 5: Solve for x
   x = 2,845,795,716/25,665
6. Step 6: Final answer
   x = 110,882.36