Finding the Third Proportional to 4,786 and 10,532

Step by Step Solution

1. Step 1: Write the proportion equation
   4,786 : 10,532 = 10,532 : x
2. Step 2: Convert to fraction form
   4,786/10,532 = 10,532/x
3. Step 3: Cross multiply
   4,786x = 10,532 × 10,532
4. Step 4: Simplify right side
   4,786x = 110,923,024
5. Step 5: Solve for x
   x = 110,923,024/4,786
6. Step 6: Final answer
   x = 23,176.56