Finding the Third Proportional to 10,600 and 14,428

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600 : 14,428 = 14,428 : x
2. Step 2: Convert to fraction form
   10,600/14,428 = 14,428/x
3. Step 3: Cross multiply
   10,600x = 14,428 × 14,428
4. Step 4: Simplify right side
   10,600x = 208,167,184
5. Step 5: Solve for x
   x = 208,167,184/10,600
6. Step 6: Final answer
   x = 19,638.41