Finding the Third Proportional to 10,386 and 24,264

Step by Step Solution

1. Step 1: Write the proportion equation
   10,386 : 24,264 = 24,264 : x
2. Step 2: Convert to fraction form
   10,386/24,264 = 24,264/x
3. Step 3: Cross multiply
   10,386x = 24,264 × 24,264
4. Step 4: Simplify right side
   10,386x = 588,741,696
5. Step 5: Solve for x
   x = 588,741,696/10,386
6. Step 6: Final answer
   x = 56,686.09