Finding the Third Proportional to 10,978 and 24,091

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 24,091 = 24,091 : x
2. Step 2: Convert to fraction form
   10,978/24,091 = 24,091/x
3. Step 3: Cross multiply
   10,978x = 24,091 × 24,091
4. Step 4: Simplify right side
   10,978x = 580,376,281
5. Step 5: Solve for x
   x = 580,376,281/10,978
6. Step 6: Final answer
   x = 52,867.21