Finding the Third Proportional to 25,888 and 57,608

Step by Step Solution

1. Step 1: Write the proportion equation
   25,888 : 57,608 = 57,608 : x
2. Step 2: Convert to fraction form
   25,888/57,608 = 57,608/x
3. Step 3: Cross multiply
   25,888x = 57,608 × 57,608
4. Step 4: Simplify right side
   25,888x = 3,318,681,664
5. Step 5: Solve for x
   x = 3,318,681,664/25,888
6. Step 6: Final answer
   x = 128,193.82