Finding the Third Proportional to 9,156 and 14,038

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156 : 14,038 = 14,038 : x
2. Step 2: Convert to fraction form
   9,156/14,038 = 14,038/x
3. Step 3: Cross multiply
   9,156x = 14,038 × 14,038
4. Step 4: Simplify right side
   9,156x = 197,065,444
5. Step 5: Solve for x
   x = 197,065,444/9,156
6. Step 6: Final answer
   x = 21,523.09