Finding the Third Proportional to 13,504 and 31,540

Step by Step Solution

1. Step 1: Write the proportion equation
   13,504 : 31,540 = 31,540 : x
2. Step 2: Convert to fraction form
   13,504/31,540 = 31,540/x
3. Step 3: Cross multiply
   13,504x = 31,540 × 31,540
4. Step 4: Simplify right side
   13,504x = 994,771,600
5. Step 5: Solve for x
   x = 994,771,600/13,504
6. Step 6: Final answer
   x = 73,664.96