Finding the Third Proportional to 20,172 and 46,300

Step by Step Solution

1. Step 1: Write the proportion equation
   20,172 : 46,300 = 46,300 : x
2. Step 2: Convert to fraction form
   20,172/46,300 = 46,300/x
3. Step 3: Cross multiply
   20,172x = 46,300 × 46,300
4. Step 4: Simplify right side
   20,172x = 2,143,690,000
5. Step 5: Solve for x
   x = 2,143,690,000/20,172
6. Step 6: Final answer
   x = 106,270.57