Finding the Third Proportional to 25,920 and 60,696

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 60,696 = 60,696 : x
2. Step 2: Convert to fraction form
   25,920/60,696 = 60,696/x
3. Step 3: Cross multiply
   25,920x = 60,696 × 60,696
4. Step 4: Simplify right side
   25,920x = 3,684,004,416
5. Step 5: Solve for x
   x = 3,684,004,416/25,920
6. Step 6: Final answer
   x = 142,129.80