Finding the Third Proportional to 9,865 and 21,458

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865 : 21,458 = 21,458 : x
2. Step 2: Convert to fraction form
   9,865/21,458 = 21,458/x
3. Step 3: Cross multiply
   9,865x = 21,458 × 21,458
4. Step 4: Simplify right side
   9,865x = 460,445,764
5. Step 5: Solve for x
   x = 460,445,764/9,865
6. Step 6: Final answer
   x = 46,674.68