Finding the Third Proportional to 46,627 and 71,711

Step by Step Solution

1. Step 1: Write the proportion equation
   46,627 : 71,711 = 71,711 : x
2. Step 2: Convert to fraction form
   46,627/71,711 = 71,711/x
3. Step 3: Cross multiply
   46,627x = 71,711 × 71,711
4. Step 4: Simplify right side
   46,627x = 5,142,467,521
5. Step 5: Solve for x
   x = 5,142,467,521/46,627
6. Step 6: Final answer
   x = 110,289.48