Finding the Third Proportional to 25,952 and 57,664

Step by Step Solution

1. Step 1: Write the proportion equation
   25,952 : 57,664 = 57,664 : x
2. Step 2: Convert to fraction form
   25,952/57,664 = 57,664/x
3. Step 3: Cross multiply
   25,952x = 57,664 × 57,664
4. Step 4: Simplify right side
   25,952x = 3,325,136,896
5. Step 5: Solve for x
   x = 3,325,136,896/25,952
6. Step 6: Final answer
   x = 128,126.42