Finding the Third Proportional to 35,716 and 72,404

Step by Step Solution

1. Step 1: Write the proportion equation
   35,716 : 72,404 = 72,404 : x
2. Step 2: Convert to fraction form
   35,716/72,404 = 72,404/x
3. Step 3: Cross multiply
   35,716x = 72,404 × 72,404
4. Step 4: Simplify right side
   35,716x = 5,242,339,216
5. Step 5: Solve for x
   x = 5,242,339,216/35,716
6. Step 6: Final answer
   x = 146,778.45