Finding the Third Proportional to 10,172 and 19,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 19,084 = 19,084 : x
2. Step 2: Convert to fraction form
   10,172/19,084 = 19,084/x
3. Step 3: Cross multiply
   10,172x = 19,084 × 19,084
4. Step 4: Simplify right side
   10,172x = 364,199,056
5. Step 5: Solve for x
   x = 364,199,056/10,172
6. Step 6: Final answer
   x = 35,804.08