Finding the Third Proportional to 10,886 and 23,194

Step by Step Solution

1. Step 1: Write the proportion equation
   10,886 : 23,194 = 23,194 : x
2. Step 2: Convert to fraction form
   10,886/23,194 = 23,194/x
3. Step 3: Cross multiply
   10,886x = 23,194 × 23,194
4. Step 4: Simplify right side
   10,886x = 537,961,636
5. Step 5: Solve for x
   x = 537,961,636/10,886
6. Step 6: Final answer
   x = 49,417.75