Finding the Third Proportional to 10,272 and 21,617

Step by Step Solution

1. Step 1: Write the proportion equation
   10,272 : 21,617 = 21,617 : x
2. Step 2: Convert to fraction form
   10,272/21,617 = 21,617/x
3. Step 3: Cross multiply
   10,272x = 21,617 × 21,617
4. Step 4: Simplify right side
   10,272x = 467,294,689
5. Step 5: Solve for x
   x = 467,294,689/10,272
6. Step 6: Final answer
   x = 45,492.08