Finding the Third Proportional to 20,196 and 42,792

Step by Step Solution

1. Step 1: Write the proportion equation
   20,196 : 42,792 = 42,792 : x
2. Step 2: Convert to fraction form
   20,196/42,792 = 42,792/x
3. Step 3: Cross multiply
   20,196x = 42,792 × 42,792
4. Step 4: Simplify right side
   20,196x = 1,831,155,264
5. Step 5: Solve for x
   x = 1,831,155,264/20,196
6. Step 6: Final answer
   x = 90,669.20