Finding the Third Proportional to 10,696 and 23,465

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 23,465 = 23,465 : x
2. Step 2: Convert to fraction form
   10,696/23,465 = 23,465/x
3. Step 3: Cross multiply
   10,696x = 23,465 × 23,465
4. Step 4: Simplify right side
   10,696x = 550,606,225
5. Step 5: Solve for x
   x = 550,606,225/10,696
6. Step 6: Final answer
   x = 51,477.77