Finding the Third Proportional to 20,624 and 23,792

Step by Step Solution

1. Step 1: Write the proportion equation
   20,624 : 23,792 = 23,792 : x
2. Step 2: Convert to fraction form
   20,624/23,792 = 23,792/x
3. Step 3: Cross multiply
   20,624x = 23,792 × 23,792
4. Step 4: Simplify right side
   20,624x = 566,059,264
5. Step 5: Solve for x
   x = 566,059,264/20,624
6. Step 6: Final answer
   x = 27,446.63