Finding the Third Proportional to 35,013 and 74,886

Step by Step Solution

1. Step 1: Write the proportion equation
   35,013 : 74,886 = 74,886 : x
2. Step 2: Convert to fraction form
   35,013/74,886 = 74,886/x
3. Step 3: Cross multiply
   35,013x = 74,886 × 74,886
4. Step 4: Simplify right side
   35,013x = 5,607,912,996
5. Step 5: Solve for x
   x = 5,607,912,996/35,013
6. Step 6: Final answer
   x = 160,166.60