Finding the Third Proportional to 10,978 and 23,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 23,820 = 23,820 : x
2. Step 2: Convert to fraction form
   10,978/23,820 = 23,820/x
3. Step 3: Cross multiply
   10,978x = 23,820 × 23,820
4. Step 4: Simplify right side
   10,978x = 567,392,400
5. Step 5: Solve for x
   x = 567,392,400/10,978
6. Step 6: Final answer
   x = 51,684.50