Finding the Third Proportional to 19,694 and 30,161

Step by Step Solution

1. Step 1: Write the proportion equation
   19,694 : 30,161 = 30,161 : x
2. Step 2: Convert to fraction form
   19,694/30,161 = 30,161/x
3. Step 3: Cross multiply
   19,694x = 30,161 × 30,161
4. Step 4: Simplify right side
   19,694x = 909,685,921
5. Step 5: Solve for x
   x = 909,685,921/19,694
6. Step 6: Final answer
   x = 46,191.02