Finding the Third Proportional to 25,816 and 37,968

Step by Step Solution

1. Step 1: Write the proportion equation
   25,816 : 37,968 = 37,968 : x
2. Step 2: Convert to fraction form
   25,816/37,968 = 37,968/x
3. Step 3: Cross multiply
   25,816x = 37,968 × 37,968
4. Step 4: Simplify right side
   25,816x = 1,441,569,024
5. Step 5: Solve for x
   x = 1,441,569,024/25,816
6. Step 6: Final answer
   x = 55,840.14