Finding the Third Proportional to 4,760 and 10,472

Step by Step Solution

1. Step 1: Write the proportion equation
   4,760 : 10,472 = 10,472 : x
2. Step 2: Convert to fraction form
   4,760/10,472 = 10,472/x
3. Step 3: Cross multiply
   4,760x = 10,472 × 10,472
4. Step 4: Simplify right side
   4,760x = 109,662,784
5. Step 5: Solve for x
   x = 109,662,784/4,760
6. Step 6: Final answer
   x = 23,038.40