Finding the Third Proportional to 19,106 and 41,993.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,106 : 41,993.75 = 41,993.75 : x
2. Step 2: Convert to fraction form
   19,106/41,993.75 = 41,993.75/x
3. Step 3: Cross multiply
   19,106x = 41,993.75 × 41,993.75
4. Step 4: Simplify right side
   19,106x = 1,763,475,039.06
5. Step 5: Solve for x
   x = 1,763,475,039.06/19,106
6. Step 6: Final answer
   x = 92,299.54