Finding the Third Proportional to 22,783 and 47,065

Step by Step Solution

1. Step 1: Write the proportion equation
   22,783 : 47,065 = 47,065 : x
2. Step 2: Convert to fraction form
   22,783/47,065 = 47,065/x
3. Step 3: Cross multiply
   22,783x = 47,065 × 47,065
4. Step 4: Simplify right side
   22,783x = 2,215,114,225
5. Step 5: Solve for x
   x = 2,215,114,225/22,783
6. Step 6: Final answer
   x = 97,226.63