Finding the Third Proportional to 10,272 and 21,840

Step by Step Solution

1. Step 1: Write the proportion equation
   10,272 : 21,840 = 21,840 : x
2. Step 2: Convert to fraction form
   10,272/21,840 = 21,840/x
3. Step 3: Cross multiply
   10,272x = 21,840 × 21,840
4. Step 4: Simplify right side
   10,272x = 476,985,600
5. Step 5: Solve for x
   x = 476,985,600/10,272
6. Step 6: Final answer
   x = 46,435.51