Finding the Third Proportional to 23,978 and 52,681

Step by Step Solution

1. Step 1: Write the proportion equation
   23,978 : 52,681 = 52,681 : x
2. Step 2: Convert to fraction form
   23,978/52,681 = 52,681/x
3. Step 3: Cross multiply
   23,978x = 52,681 × 52,681
4. Step 4: Simplify right side
   23,978x = 2,775,287,761
5. Step 5: Solve for x
   x = 2,775,287,761/23,978
6. Step 6: Final answer
   x = 115,743.09