Finding the Third Proportional to 10,122 and 22,194

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122 : 22,194 = 22,194 : x
2. Step 2: Convert to fraction form
   10,122/22,194 = 22,194/x
3. Step 3: Cross multiply
   10,122x = 22,194 × 22,194
4. Step 4: Simplify right side
   10,122x = 492,573,636
5. Step 5: Solve for x
   x = 492,573,636/10,122
6. Step 6: Final answer
   x = 48,663.67