Finding the Third Proportional to 10,070 and 21,821

Step by Step Solution

1. Step 1: Write the proportion equation
   10,070 : 21,821 = 21,821 : x
2. Step 2: Convert to fraction form
   10,070/21,821 = 21,821/x
3. Step 3: Cross multiply
   10,070x = 21,821 × 21,821
4. Step 4: Simplify right side
   10,070x = 476,156,041
5. Step 5: Solve for x
   x = 476,156,041/10,070
6. Step 6: Final answer
   x = 47,284.61