Finding the Third Proportional to 10,080 and 19,674

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 19,674 = 19,674 : x
2. Step 2: Convert to fraction form
   10,080/19,674 = 19,674/x
3. Step 3: Cross multiply
   10,080x = 19,674 × 19,674
4. Step 4: Simplify right side
   10,080x = 387,066,276
5. Step 5: Solve for x
   x = 387,066,276/10,080
6. Step 6: Final answer
   x = 38,399.43