Finding the Third Proportional to 35,615 and 76,940

Step by Step Solution

1. Step 1: Write the proportion equation
   35,615 : 76,940 = 76,940 : x
2. Step 2: Convert to fraction form
   35,615/76,940 = 76,940/x
3. Step 3: Cross multiply
   35,615x = 76,940 × 76,940
4. Step 4: Simplify right side
   35,615x = 5,919,763,600
5. Step 5: Solve for x
   x = 5,919,763,600/35,615
6. Step 6: Final answer
   x = 166,215.46