Finding the Third Proportional to 9,737 and 21,418

Step by Step Solution

1. Step 1: Write the proportion equation
   9,737 : 21,418 = 21,418 : x
2. Step 2: Convert to fraction form
   9,737/21,418 = 21,418/x
3. Step 3: Cross multiply
   9,737x = 21,418 × 21,418
4. Step 4: Simplify right side
   9,737x = 458,730,724
5. Step 5: Solve for x
   x = 458,730,724/9,737
6. Step 6: Final answer
   x = 47,112.12