Finding the Third Proportional to 7,696 and 10,156

Step by Step Solution

1. Step 1: Write the proportion equation
   7,696 : 10,156 = 10,156 : x
2. Step 2: Convert to fraction form
   7,696/10,156 = 10,156/x
3. Step 3: Cross multiply
   7,696x = 10,156 × 10,156
4. Step 4: Simplify right side
   7,696x = 103,144,336
5. Step 5: Solve for x
   x = 103,144,336/7,696
6. Step 6: Final answer
   x = 13,402.33