Finding the Third Proportional to 23,038 and 49,352

Step by Step Solution

1. Step 1: Write the proportion equation
   23,038 : 49,352 = 49,352 : x
2. Step 2: Convert to fraction form
   23,038/49,352 = 49,352/x
3. Step 3: Cross multiply
   23,038x = 49,352 × 49,352
4. Step 4: Simplify right side
   23,038x = 2,435,619,904
5. Step 5: Solve for x
   x = 2,435,619,904/23,038
6. Step 6: Final answer
   x = 105,721.85