Finding the Third Proportional to 46,166 and 69,687

Step by Step Solution

1. Step 1: Write the proportion equation
   46,166 : 69,687 = 69,687 : x
2. Step 2: Convert to fraction form
   46,166/69,687 = 69,687/x
3. Step 3: Cross multiply
   46,166x = 69,687 × 69,687
4. Step 4: Simplify right side
   46,166x = 4,856,277,969
5. Step 5: Solve for x
   x = 4,856,277,969/46,166
6. Step 6: Final answer
   x = 105,191.66