Finding the Third Proportional to 10,004 and 19,708

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 19,708 = 19,708 : x
2. Step 2: Convert to fraction form
   10,004/19,708 = 19,708/x
3. Step 3: Cross multiply
   10,004x = 19,708 × 19,708
4. Step 4: Simplify right side
   10,004x = 388,405,264
5. Step 5: Solve for x
   x = 388,405,264/10,004
6. Step 6: Final answer
   x = 38,825.00