Finding the Third Proportional to 35,185 and 71,803

Step by Step Solution

1. Step 1: Write the proportion equation
   35,185 : 71,803 = 71,803 : x
2. Step 2: Convert to fraction form
   35,185/71,803 = 71,803/x
3. Step 3: Cross multiply
   35,185x = 71,803 × 71,803
4. Step 4: Simplify right side
   35,185x = 5,155,670,809
5. Step 5: Solve for x
   x = 5,155,670,809/35,185
6. Step 6: Final answer
   x = 146,530.36