Finding the Third Proportional to 31,412 and 46,540

Step by Step Solution

1. Step 1: Write the proportion equation
   31,412 : 46,540 = 46,540 : x
2. Step 2: Convert to fraction form
   31,412/46,540 = 46,540/x
3. Step 3: Cross multiply
   31,412x = 46,540 × 46,540
4. Step 4: Simplify right side
   31,412x = 2,165,971,600
5. Step 5: Solve for x
   x = 2,165,971,600/31,412
6. Step 6: Final answer
   x = 68,953.64