Finding the Third Proportional to 35,920 and 72,866

Step by Step Solution

1. Step 1: Write the proportion equation
   35,920 : 72,866 = 72,866 : x
2. Step 2: Convert to fraction form
   35,920/72,866 = 72,866/x
3. Step 3: Cross multiply
   35,920x = 72,866 × 72,866
4. Step 4: Simplify right side
   35,920x = 5,309,453,956
5. Step 5: Solve for x
   x = 5,309,453,956/35,920
6. Step 6: Final answer
   x = 147,813.31