Finding the Third Proportional to 22,826 and 49,047

Step by Step Solution

1. Step 1: Write the proportion equation
   22,826 : 49,047 = 49,047 : x
2. Step 2: Convert to fraction form
   22,826/49,047 = 49,047/x
3. Step 3: Cross multiply
   22,826x = 49,047 × 49,047
4. Step 4: Simplify right side
   22,826x = 2,405,608,209
5. Step 5: Solve for x
   x = 2,405,608,209/22,826
6. Step 6: Final answer
   x = 105,388.95