Finding the Third Proportional to 9,732 and 21,102

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732 : 21,102 = 21,102 : x
2. Step 2: Convert to fraction form
   9,732/21,102 = 21,102/x
3. Step 3: Cross multiply
   9,732x = 21,102 × 21,102
4. Step 4: Simplify right side
   9,732x = 445,294,404
5. Step 5: Solve for x
   x = 445,294,404/9,732
6. Step 6: Final answer
   x = 45,755.69