Finding the Third Proportional to 10,470 and 14,076

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470 : 14,076 = 14,076 : x
2. Step 2: Convert to fraction form
   10,470/14,076 = 14,076/x
3. Step 3: Cross multiply
   10,470x = 14,076 × 14,076
4. Step 4: Simplify right side
   10,470x = 198,133,776
5. Step 5: Solve for x
   x = 198,133,776/10,470
6. Step 6: Final answer
   x = 18,923.95