Finding the Third Proportional to 35,038 and 74,540

Step by Step Solution

1. Step 1: Write the proportion equation
   35,038 : 74,540 = 74,540 : x
2. Step 2: Convert to fraction form
   35,038/74,540 = 74,540/x
3. Step 3: Cross multiply
   35,038x = 74,540 × 74,540
4. Step 4: Simplify right side
   35,038x = 5,556,211,600
5. Step 5: Solve for x
   x = 5,556,211,600/35,038
6. Step 6: Final answer
   x = 158,576.73