Finding the Third Proportional to 10,156 and 17,138

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156 : 17,138 = 17,138 : x
2. Step 2: Convert to fraction form
   10,156/17,138 = 17,138/x
3. Step 3: Cross multiply
   10,156x = 17,138 × 17,138
4. Step 4: Simplify right side
   10,156x = 293,711,044
5. Step 5: Solve for x
   x = 293,711,044/10,156
6. Step 6: Final answer
   x = 28,919.95