Finding the Third Proportional to 35,048 and 74,902

Step by Step Solution

1. Step 1: Write the proportion equation
   35,048 : 74,902 = 74,902 : x
2. Step 2: Convert to fraction form
   35,048/74,902 = 74,902/x
3. Step 3: Cross multiply
   35,048x = 74,902 × 74,902
4. Step 4: Simplify right side
   35,048x = 5,610,309,604
5. Step 5: Solve for x
   x = 5,610,309,604/35,048
6. Step 6: Final answer
   x = 160,075.03