Finding the Third Proportional to 10,006 and 21,470

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 21,470 = 21,470 : x
2. Step 2: Convert to fraction form
   10,006/21,470 = 21,470/x
3. Step 3: Cross multiply
   10,006x = 21,470 × 21,470
4. Step 4: Simplify right side
   10,006x = 460,960,900
5. Step 5: Solve for x
   x = 460,960,900/10,006
6. Step 6: Final answer
   x = 46,068.45