Finding the Third Proportional to 22,233 and 47,754

Step by Step Solution

1. Step 1: Write the proportion equation
   22,233 : 47,754 = 47,754 : x
2. Step 2: Convert to fraction form
   22,233/47,754 = 47,754/x
3. Step 3: Cross multiply
   22,233x = 47,754 × 47,754
4. Step 4: Simplify right side
   22,233x = 2,280,444,516
5. Step 5: Solve for x
   x = 2,280,444,516/22,233
6. Step 6: Final answer
   x = 102,570.26