Finding the Third Proportional to 23,808 and 51,072

Step by Step Solution

1. Step 1: Write the proportion equation
   23,808 : 51,072 = 51,072 : x
2. Step 2: Convert to fraction form
   23,808/51,072 = 51,072/x
3. Step 3: Cross multiply
   23,808x = 51,072 × 51,072
4. Step 4: Simplify right side
   23,808x = 2,608,349,184
5. Step 5: Solve for x
   x = 2,608,349,184/23,808
6. Step 6: Final answer
   x = 109,557.68