Finding the Third Proportional to 11,546 and 24,470

Step by Step Solution

1. Step 1: Write the proportion equation
   11,546 : 24,470 = 24,470 : x
2. Step 2: Convert to fraction form
   11,546/24,470 = 24,470/x
3. Step 3: Cross multiply
   11,546x = 24,470 × 24,470
4. Step 4: Simplify right side
   11,546x = 598,780,900
5. Step 5: Solve for x
   x = 598,780,900/11,546
6. Step 6: Final answer
   x = 51,860.46