Finding the Third Proportional to 46,782 and 71,904

Step by Step Solution

1. Step 1: Write the proportion equation
   46,782 : 71,904 = 71,904 : x
2. Step 2: Convert to fraction form
   46,782/71,904 = 71,904/x
3. Step 3: Cross multiply
   46,782x = 71,904 × 71,904
4. Step 4: Simplify right side
   46,782x = 5,170,185,216
5. Step 5: Solve for x
   x = 5,170,185,216/46,782
6. Step 6: Final answer
   x = 110,516.55