Finding the Third Proportional to 46,853 and 71,846

Step by Step Solution

1. Step 1: Write the proportion equation
   46,853 : 71,846 = 71,846 : x
2. Step 2: Convert to fraction form
   46,853/71,846 = 71,846/x
3. Step 3: Cross multiply
   46,853x = 71,846 × 71,846
4. Step 4: Simplify right side
   46,853x = 5,161,847,716
5. Step 5: Solve for x
   x = 5,161,847,716/46,853
6. Step 6: Final answer
   x = 110,171.12