Finding the Third Proportional to 10,308 and 17,782

Step by Step Solution

1. Step 1: Write the proportion equation
   10,308 : 17,782 = 17,782 : x
2. Step 2: Convert to fraction form
   10,308/17,782 = 17,782/x
3. Step 3: Cross multiply
   10,308x = 17,782 × 17,782
4. Step 4: Simplify right side
   10,308x = 316,199,524
5. Step 5: Solve for x
   x = 316,199,524/10,308
6. Step 6: Final answer
   x = 30,675.16