Finding the Third Proportional to 31,172 and 46,624

Step by Step Solution

1. Step 1: Write the proportion equation
   31,172 : 46,624 = 46,624 : x
2. Step 2: Convert to fraction form
   31,172/46,624 = 46,624/x
3. Step 3: Cross multiply
   31,172x = 46,624 × 46,624
4. Step 4: Simplify right side
   31,172x = 2,173,797,376
5. Step 5: Solve for x
   x = 2,173,797,376/31,172
6. Step 6: Final answer
   x = 69,735.58