Finding the Third Proportional to 22,134 and 47,792

Step by Step Solution

1. Step 1: Write the proportion equation
   22,134 : 47,792 = 47,792 : x
2. Step 2: Convert to fraction form
   22,134/47,792 = 47,792/x
3. Step 3: Cross multiply
   22,134x = 47,792 × 47,792
4. Step 4: Simplify right side
   22,134x = 2,284,075,264
5. Step 5: Solve for x
   x = 2,284,075,264/22,134
6. Step 6: Final answer
   x = 103,193.06