Finding the Third Proportional to 19,604 and 46,271

Step by Step Solution

1. Step 1: Write the proportion equation
   19,604 : 46,271 = 46,271 : x
2. Step 2: Convert to fraction form
   19,604/46,271 = 46,271/x
3. Step 3: Cross multiply
   19,604x = 46,271 × 46,271
4. Step 4: Simplify right side
   19,604x = 2,141,005,441
5. Step 5: Solve for x
   x = 2,141,005,441/19,604
6. Step 6: Final answer
   x = 109,212.68