Finding the Third Proportional to 46,477 and 71,814

Step by Step Solution

1. Step 1: Write the proportion equation
   46,477 : 71,814 = 71,814 : x
2. Step 2: Convert to fraction form
   46,477/71,814 = 71,814/x
3. Step 3: Cross multiply
   46,477x = 71,814 × 71,814
4. Step 4: Simplify right side
   46,477x = 5,157,250,596
5. Step 5: Solve for x
   x = 5,157,250,596/46,477
6. Step 6: Final answer
   x = 110,963.50