Finding the Third Proportional to 10,319 and 23,310

Step by Step Solution

1. Step 1: Write the proportion equation
   10,319 : 23,310 = 23,310 : x
2. Step 2: Convert to fraction form
   10,319/23,310 = 23,310/x
3. Step 3: Cross multiply
   10,319x = 23,310 × 23,310
4. Step 4: Simplify right side
   10,319x = 543,356,100
5. Step 5: Solve for x
   x = 543,356,100/10,319
6. Step 6: Final answer
   x = 52,655.89