Finding the Third Proportional to 22,838 and 49,084

Step by Step Solution

1. Step 1: Write the proportion equation
   22,838 : 49,084 = 49,084 : x
2. Step 2: Convert to fraction form
   22,838/49,084 = 49,084/x
3. Step 3: Cross multiply
   22,838x = 49,084 × 49,084
4. Step 4: Simplify right side
   22,838x = 2,409,239,056
5. Step 5: Solve for x
   x = 2,409,239,056/22,838
6. Step 6: Final answer
   x = 105,492.56