Finding the Third Proportional to 22,830 and 49,071

Step by Step Solution

1. Step 1: Write the proportion equation
   22,830 : 49,071 = 49,071 : x
2. Step 2: Convert to fraction form
   22,830/49,071 = 49,071/x
3. Step 3: Cross multiply
   22,830x = 49,071 × 49,071
4. Step 4: Simplify right side
   22,830x = 2,407,963,041
5. Step 5: Solve for x
   x = 2,407,963,041/22,830
6. Step 6: Final answer
   x = 105,473.63