Finding the Third Proportional to 10,978 and 23,729

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 23,729 = 23,729 : x
2. Step 2: Convert to fraction form
   10,978/23,729 = 23,729/x
3. Step 3: Cross multiply
   10,978x = 23,729 × 23,729
4. Step 4: Simplify right side
   10,978x = 563,065,441
5. Step 5: Solve for x
   x = 563,065,441/10,978
6. Step 6: Final answer
   x = 51,290.35