Finding the Third Proportional to 35,584 and 51,540

Step by Step Solution

1. Step 1: Write the proportion equation
   35,584 : 51,540 = 51,540 : x
2. Step 2: Convert to fraction form
   35,584/51,540 = 51,540/x
3. Step 3: Cross multiply
   35,584x = 51,540 × 51,540
4. Step 4: Simplify right side
   35,584x = 2,656,371,600
5. Step 5: Solve for x
   x = 2,656,371,600/35,584
6. Step 6: Final answer
   x = 74,650.73