Finding the Third Proportional to 23,564 and 49,072

Step by Step Solution

1. Step 1: Write the proportion equation
   23,564 : 49,072 = 49,072 : x
2. Step 2: Convert to fraction form
   23,564/49,072 = 49,072/x
3. Step 3: Cross multiply
   23,564x = 49,072 × 49,072
4. Step 4: Simplify right side
   23,564x = 2,408,061,184
5. Step 5: Solve for x
   x = 2,408,061,184/23,564
6. Step 6: Final answer
   x = 102,192.38