Finding the Third Proportional to 25,680 and 59,664

Step by Step Solution

1. Step 1: Write the proportion equation
   25,680 : 59,664 = 59,664 : x
2. Step 2: Convert to fraction form
   25,680/59,664 = 59,664/x
3. Step 3: Cross multiply
   25,680x = 59,664 × 59,664
4. Step 4: Simplify right side
   25,680x = 3,559,792,896
5. Step 5: Solve for x
   x = 3,559,792,896/25,680
6. Step 6: Final answer
   x = 138,621.22