Finding the Third Proportional to 22,194 and 47,142

Step by Step Solution

1. Step 1: Write the proportion equation
   22,194 : 47,142 = 47,142 : x
2. Step 2: Convert to fraction form
   22,194/47,142 = 47,142/x
3. Step 3: Cross multiply
   22,194x = 47,142 × 47,142
4. Step 4: Simplify right side
   22,194x = 2,222,368,164
5. Step 5: Solve for x
   x = 2,222,368,164/22,194
6. Step 6: Final answer
   x = 100,133.74