Finding the Third Proportional to 31,420 and 46,074

Step by Step Solution

1. Step 1: Write the proportion equation
   31,420 : 46,074 = 46,074 : x
2. Step 2: Convert to fraction form
   31,420/46,074 = 46,074/x
3. Step 3: Cross multiply
   31,420x = 46,074 × 46,074
4. Step 4: Simplify right side
   31,420x = 2,122,813,476
5. Step 5: Solve for x
   x = 2,122,813,476/31,420
6. Step 6: Final answer
   x = 67,562.49