Finding the Third Proportional to 23,106 and 49,284

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106 : 49,284 = 49,284 : x
2. Step 2: Convert to fraction form
   23,106/49,284 = 49,284/x
3. Step 3: Cross multiply
   23,106x = 49,284 × 49,284
4. Step 4: Simplify right side
   23,106x = 2,428,912,656
5. Step 5: Solve for x
   x = 2,428,912,656/23,106
6. Step 6: Final answer
   x = 105,120.43