Finding the Third Proportional to 46,614 and 72,711

Step by Step Solution

1. Step 1: Write the proportion equation
   46,614 : 72,711 = 72,711 : x
2. Step 2: Convert to fraction form
   46,614/72,711 = 72,711/x
3. Step 3: Cross multiply
   46,614x = 72,711 × 72,711
4. Step 4: Simplify right side
   46,614x = 5,286,889,521
5. Step 5: Solve for x
   x = 5,286,889,521/46,614
6. Step 6: Final answer
   x = 113,418.49