Finding the Third Proportional to 23,280 and 35,792

Step by Step Solution

1. Step 1: Write the proportion equation
   23,280 : 35,792 = 35,792 : x
2. Step 2: Convert to fraction form
   23,280/35,792 = 35,792/x
3. Step 3: Cross multiply
   23,280x = 35,792 × 35,792
4. Step 4: Simplify right side
   23,280x = 1,281,067,264
5. Step 5: Solve for x
   x = 1,281,067,264/23,280
6. Step 6: Final answer
   x = 55,028.66