Finding the Third Proportional to 31,106 and 46,740

Step by Step Solution

1. Step 1: Write the proportion equation
   31,106 : 46,740 = 46,740 : x
2. Step 2: Convert to fraction form
   31,106/46,740 = 46,740/x
3. Step 3: Cross multiply
   31,106x = 46,740 × 46,740
4. Step 4: Simplify right side
   31,106x = 2,184,627,600
5. Step 5: Solve for x
   x = 2,184,627,600/31,106
6. Step 6: Final answer
   x = 70,231.71