Finding the Third Proportional to 31,452 and 46,590

Step by Step Solution

1. Step 1: Write the proportion equation
   31,452 : 46,590 = 46,590 : x
2. Step 2: Convert to fraction form
   31,452/46,590 = 46,590/x
3. Step 3: Cross multiply
   31,452x = 46,590 × 46,590
4. Step 4: Simplify right side
   31,452x = 2,170,628,100
5. Step 5: Solve for x
   x = 2,170,628,100/31,452
6. Step 6: Final answer
   x = 69,013.99