Finding the Third Proportional to 35,946 and 72,870

Step by Step Solution

1. Step 1: Write the proportion equation
   35,946 : 72,870 = 72,870 : x
2. Step 2: Convert to fraction form
   35,946/72,870 = 72,870/x
3. Step 3: Cross multiply
   35,946x = 72,870 × 72,870
4. Step 4: Simplify right side
   35,946x = 5,310,036,900
5. Step 5: Solve for x
   x = 5,310,036,900/35,946
6. Step 6: Final answer
   x = 147,722.61