Finding the Third Proportional to 9,729 and 21,402

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729 : 21,402 = 21,402 : x
2. Step 2: Convert to fraction form
   9,729/21,402 = 21,402/x
3. Step 3: Cross multiply
   9,729x = 21,402 × 21,402
4. Step 4: Simplify right side
   9,729x = 458,045,604
5. Step 5: Solve for x
   x = 458,045,604/9,729
6. Step 6: Final answer
   x = 47,080.44