Finding the Third Proportional to 31,234 and 46,819

Step by Step Solution

1. Step 1: Write the proportion equation
   31,234 : 46,819 = 46,819 : x
2. Step 2: Convert to fraction form
   31,234/46,819 = 46,819/x
3. Step 3: Cross multiply
   31,234x = 46,819 × 46,819
4. Step 4: Simplify right side
   31,234x = 2,192,018,761
5. Step 5: Solve for x
   x = 2,192,018,761/31,234
6. Step 6: Final answer
   x = 70,180.53