Finding the Third Proportional to 31,762 and 46,449

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 46,449 = 46,449 : x
2. Step 2: Convert to fraction form
   31,762/46,449 = 46,449/x
3. Step 3: Cross multiply
   31,762x = 46,449 × 46,449
4. Step 4: Simplify right side
   31,762x = 2,157,509,601
5. Step 5: Solve for x
   x = 2,157,509,601/31,762
6. Step 6: Final answer
   x = 67,927.38