Finding the Third Proportional to 46,478 and 71,112

Step by Step Solution

1. Step 1: Write the proportion equation
   46,478 : 71,112 = 71,112 : x
2. Step 2: Convert to fraction form
   46,478/71,112 = 71,112/x
3. Step 3: Cross multiply
   46,478x = 71,112 × 71,112
4. Step 4: Simplify right side
   46,478x = 5,056,916,544
5. Step 5: Solve for x
   x = 5,056,916,544/46,478
6. Step 6: Final answer
   x = 108,802.37