Finding the Third Proportional to 22,770 and 46,674

Step by Step Solution

1. Step 1: Write the proportion equation
   22,770 : 46,674 = 46,674 : x
2. Step 2: Convert to fraction form
   22,770/46,674 = 46,674/x
3. Step 3: Cross multiply
   22,770x = 46,674 × 46,674
4. Step 4: Simplify right side
   22,770x = 2,178,462,276
5. Step 5: Solve for x
   x = 2,178,462,276/22,770
6. Step 6: Final answer
   x = 95,672.48