Finding the Third Proportional to 25,496 and 38,978

Step by Step Solution

1. Step 1: Write the proportion equation
   25,496 : 38,978 = 38,978 : x
2. Step 2: Convert to fraction form
   25,496/38,978 = 38,978/x
3. Step 3: Cross multiply
   25,496x = 38,978 × 38,978
4. Step 4: Simplify right side
   25,496x = 1,519,284,484
5. Step 5: Solve for x
   x = 1,519,284,484/25,496
6. Step 6: Final answer
   x = 59,589.13