Finding the Third Proportional to 10,119 and 22,091

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119 : 22,091 = 22,091 : x
2. Step 2: Convert to fraction form
   10,119/22,091 = 22,091/x
3. Step 3: Cross multiply
   10,119x = 22,091 × 22,091
4. Step 4: Simplify right side
   10,119x = 488,012,281
5. Step 5: Solve for x
   x = 488,012,281/10,119
6. Step 6: Final answer
   x = 48,227.32