Finding the Third Proportional to 22,512 and 32,792

Step by Step Solution

1. Step 1: Write the proportion equation
   22,512 : 32,792 = 32,792 : x
2. Step 2: Convert to fraction form
   22,512/32,792 = 32,792/x
3. Step 3: Cross multiply
   22,512x = 32,792 × 32,792
4. Step 4: Simplify right side
   22,512x = 1,075,315,264
5. Step 5: Solve for x
   x = 1,075,315,264/22,512
6. Step 6: Final answer
   x = 47,766.31