Finding the Third Proportional to 10,480 and 19,904

Step by Step Solution

1. Step 1: Write the proportion equation
   10,480 : 19,904 = 19,904 : x
2. Step 2: Convert to fraction form
   10,480/19,904 = 19,904/x
3. Step 3: Cross multiply
   10,480x = 19,904 × 19,904
4. Step 4: Simplify right side
   10,480x = 396,169,216
5. Step 5: Solve for x
   x = 396,169,216/10,480
6. Step 6: Final answer
   x = 37,802.41