Finding the Third Proportional to 4,782 and 10,507

Step by Step Solution

1. Step 1: Write the proportion equation
   4,782 : 10,507 = 10,507 : x
2. Step 2: Convert to fraction form
   4,782/10,507 = 10,507/x
3. Step 3: Cross multiply
   4,782x = 10,507 × 10,507
4. Step 4: Simplify right side
   4,782x = 110,397,049
5. Step 5: Solve for x
   x = 110,397,049/4,782
6. Step 6: Final answer
   x = 23,085.96