Finding the Third Proportional to 10,068 and 21,681

Step by Step Solution

1. Step 1: Write the proportion equation
   10,068 : 21,681 = 21,681 : x
2. Step 2: Convert to fraction form
   10,068/21,681 = 21,681/x
3. Step 3: Cross multiply
   10,068x = 21,681 × 21,681
4. Step 4: Simplify right side
   10,068x = 470,065,761
5. Step 5: Solve for x
   x = 470,065,761/10,068
6. Step 6: Final answer
   x = 46,689.09