Finding the Third Proportional to 19,566 and 46,150

Step by Step Solution

1. Step 1: Write the proportion equation
   19,566 : 46,150 = 46,150 : x
2. Step 2: Convert to fraction form
   19,566/46,150 = 46,150/x
3. Step 3: Cross multiply
   19,566x = 46,150 × 46,150
4. Step 4: Simplify right side
   19,566x = 2,129,822,500
5. Step 5: Solve for x
   x = 2,129,822,500/19,566
6. Step 6: Final answer
   x = 108,853.24