Finding the Third Proportional to 46,109 and 71,210

Step by Step Solution

1. Step 1: Write the proportion equation
   46,109 : 71,210 = 71,210 : x
2. Step 2: Convert to fraction form
   46,109/71,210 = 71,210/x
3. Step 3: Cross multiply
   46,109x = 71,210 × 71,210
4. Step 4: Simplify right side
   46,109x = 5,070,864,100
5. Step 5: Solve for x
   x = 5,070,864,100/46,109
6. Step 6: Final answer
   x = 109,975.58