Finding the Third Proportional to 4,706 and 10,276

Step by Step Solution

1. Step 1: Write the proportion equation
   4,706 : 10,276 = 10,276 : x
2. Step 2: Convert to fraction form
   4,706/10,276 = 10,276/x
3. Step 3: Cross multiply
   4,706x = 10,276 × 10,276
4. Step 4: Simplify right side
   4,706x = 105,596,176
5. Step 5: Solve for x
   x = 105,596,176/4,706
6. Step 6: Final answer
   x = 22,438.63