Finding the Third Proportional to 31,124 and 46,576

Step by Step Solution

1. Step 1: Write the proportion equation
   31,124 : 46,576 = 46,576 : x
2. Step 2: Convert to fraction form
   31,124/46,576 = 46,576/x
3. Step 3: Cross multiply
   31,124x = 46,576 × 46,576
4. Step 4: Simplify right side
   31,124x = 2,169,323,776
5. Step 5: Solve for x
   x = 2,169,323,776/31,124
6. Step 6: Final answer
   x = 69,699.39