Finding the Third Proportional to 46,620 and 71,496

Step by Step Solution

1. Step 1: Write the proportion equation
   46,620 : 71,496 = 71,496 : x
2. Step 2: Convert to fraction form
   46,620/71,496 = 71,496/x
3. Step 3: Cross multiply
   46,620x = 71,496 × 71,496
4. Step 4: Simplify right side
   46,620x = 5,111,678,016
5. Step 5: Solve for x
   x = 5,111,678,016/46,620
6. Step 6: Final answer
   x = 109,645.60