Finding the Third Proportional to 19,530 and 46,084

Step by Step Solution

1. Step 1: Write the proportion equation
   19,530 : 46,084 = 46,084 : x
2. Step 2: Convert to fraction form
   19,530/46,084 = 46,084/x
3. Step 3: Cross multiply
   19,530x = 46,084 × 46,084
4. Step 4: Simplify right side
   19,530x = 2,123,735,056
5. Step 5: Solve for x
   x = 2,123,735,056/19,530
6. Step 6: Final answer
   x = 108,742.19