Finding the Third Proportional to 4,959.19 and 10,696.86

Step by Step Solution

1. Step 1: Write the proportion equation
   4,959.19 : 10,696.86 = 10,696.86 : x
2. Step 2: Convert to fraction form
   4,959.19/10,696.86 = 10,696.86/x
3. Step 3: Cross multiply
   4,959.19x = 10,696.86 × 10,696.86
4. Step 4: Simplify right side
   4,959.19x = 114,422,915.40
5. Step 5: Solve for x
   x = 114,422,915.40/4,959.19
6. Step 6: Final answer
   x = 23,072.89