Finding the Third Proportional to 31,115 and 46,184

Step by Step Solution

1. Step 1: Write the proportion equation
   31,115 : 46,184 = 46,184 : x
2. Step 2: Convert to fraction form
   31,115/46,184 = 46,184/x
3. Step 3: Cross multiply
   31,115x = 46,184 × 46,184
4. Step 4: Simplify right side
   31,115x = 2,132,961,856
5. Step 5: Solve for x
   x = 2,132,961,856/31,115
6. Step 6: Final answer
   x = 68,550.92