Finding the Third Proportional to 10,820 and 14,606

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 14,606 = 14,606 : x
2. Step 2: Convert to fraction form
   10,820/14,606 = 14,606/x
3. Step 3: Cross multiply
   10,820x = 14,606 × 14,606
4. Step 4: Simplify right side
   10,820x = 213,335,236
5. Step 5: Solve for x
   x = 213,335,236/10,820
6. Step 6: Final answer
   x = 19,716.75