Finding the Third Proportional to 10,696 and 22,088

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 22,088 = 22,088 : x
2. Step 2: Convert to fraction form
   10,696/22,088 = 22,088/x
3. Step 3: Cross multiply
   10,696x = 22,088 × 22,088
4. Step 4: Simplify right side
   10,696x = 487,879,744
5. Step 5: Solve for x
   x = 487,879,744/10,696
6. Step 6: Final answer
   x = 45,613.29