Finding the Third Proportional to 30,195 and 71,047

Step by Step Solution

1. Step 1: Write the proportion equation
   30,195 : 71,047 = 71,047 : x
2. Step 2: Convert to fraction form
   30,195/71,047 = 71,047/x
3. Step 3: Cross multiply
   30,195x = 71,047 × 71,047
4. Step 4: Simplify right side
   30,195x = 5,047,676,209
5. Step 5: Solve for x
   x = 5,047,676,209/30,195
6. Step 6: Final answer
   x = 167,169.27