Finding the Third Proportional to 12,946 and 19,805

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946 : 19,805 = 19,805 : x
2. Step 2: Convert to fraction form
   12,946/19,805 = 19,805/x
3. Step 3: Cross multiply
   12,946x = 19,805 × 19,805
4. Step 4: Simplify right side
   12,946x = 392,238,025
5. Step 5: Solve for x
   x = 392,238,025/12,946
6. Step 6: Final answer
   x = 30,298.01