Finding the Third Proportional to 10,156 and 14,598

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156 : 14,598 = 14,598 : x
2. Step 2: Convert to fraction form
   10,156/14,598 = 14,598/x
3. Step 3: Cross multiply
   10,156x = 14,598 × 14,598
4. Step 4: Simplify right side
   10,156x = 213,101,604
5. Step 5: Solve for x
   x = 213,101,604/10,156
6. Step 6: Final answer
   x = 20,982.83