Finding the Third Proportional to 30,676 and 46,916

Step by Step Solution

1. Step 1: Write the proportion equation
   30,676 : 46,916 = 46,916 : x
2. Step 2: Convert to fraction form
   30,676/46,916 = 46,916/x
3. Step 3: Cross multiply
   30,676x = 46,916 × 46,916
4. Step 4: Simplify right side
   30,676x = 2,201,111,056
5. Step 5: Solve for x
   x = 2,201,111,056/30,676
6. Step 6: Final answer
   x = 71,753.52