Finding the Third Proportional to 10,738 and 23,656

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738 : 23,656 = 23,656 : x
2. Step 2: Convert to fraction form
   10,738/23,656 = 23,656/x
3. Step 3: Cross multiply
   10,738x = 23,656 × 23,656
4. Step 4: Simplify right side
   10,738x = 559,606,336
5. Step 5: Solve for x
   x = 559,606,336/10,738
6. Step 6: Final answer
   x = 52,114.58