Finding the Third Proportional to 22,770 and 34,846

Step by Step Solution

1. Step 1: Write the proportion equation
   22,770 : 34,846 = 34,846 : x
2. Step 2: Convert to fraction form
   22,770/34,846 = 34,846/x
3. Step 3: Cross multiply
   22,770x = 34,846 × 34,846
4. Step 4: Simplify right side
   22,770x = 1,214,243,716
5. Step 5: Solve for x
   x = 1,214,243,716/22,770
6. Step 6: Final answer
   x = 53,326.47