Finding the Third Proportional to 25,235 and 53,086

Step by Step Solution

1. Step 1: Write the proportion equation
   25,235 : 53,086 = 53,086 : x
2. Step 2: Convert to fraction form
   25,235/53,086 = 53,086/x
3. Step 3: Cross multiply
   25,235x = 53,086 × 53,086
4. Step 4: Simplify right side
   25,235x = 2,818,123,396
5. Step 5: Solve for x
   x = 2,818,123,396/25,235
6. Step 6: Final answer
   x = 111,675.19