Finding the Third Proportional to 9,826 and 19,154

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826 : 19,154 = 19,154 : x
2. Step 2: Convert to fraction form
   9,826/19,154 = 19,154/x
3. Step 3: Cross multiply
   9,826x = 19,154 × 19,154
4. Step 4: Simplify right side
   9,826x = 366,875,716
5. Step 5: Solve for x
   x = 366,875,716/9,826
6. Step 6: Final answer
   x = 37,337.24