Finding the Third Proportional to 2,161.69 and 4,672.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,161.69 : 4,672.69 = 4,672.69 : x
2. Step 2: Convert to fraction form
   2,161.69/4,672.69 = 4,672.69/x
3. Step 3: Cross multiply
   2,161.69x = 4,672.69 × 4,672.69
4. Step 4: Simplify right side
   2,161.69x = 21,834,008.47
5. Step 5: Solve for x
   x = 21,834,008.47/2,161.69
6. Step 6: Final answer
   x = 10,100.45