Finding the Third Proportional to 10,312 and 19,802

Step by Step Solution

1. Step 1: Write the proportion equation
   10,312 : 19,802 = 19,802 : x
2. Step 2: Convert to fraction form
   10,312/19,802 = 19,802/x
3. Step 3: Cross multiply
   10,312x = 19,802 × 19,802
4. Step 4: Simplify right side
   10,312x = 392,119,204
5. Step 5: Solve for x
   x = 392,119,204/10,312
6. Step 6: Final answer
   x = 38,025.52