Finding the Third Proportional to 10,978 and 25,904

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 25,904 = 25,904 : x
2. Step 2: Convert to fraction form
   10,978/25,904 = 25,904/x
3. Step 3: Cross multiply
   10,978x = 25,904 × 25,904
4. Step 4: Simplify right side
   10,978x = 671,017,216
5. Step 5: Solve for x
   x = 671,017,216/10,978
6. Step 6: Final answer
   x = 61,123.81