Finding the Third Proportional to 47,686 and 70,142

Step by Step Solution

1. Step 1: Write the proportion equation
   47,686 : 70,142 = 70,142 : x
2. Step 2: Convert to fraction form
   47,686/70,142 = 70,142/x
3. Step 3: Cross multiply
   47,686x = 70,142 × 70,142
4. Step 4: Simplify right side
   47,686x = 4,919,900,164
5. Step 5: Solve for x
   x = 4,919,900,164/47,686
6. Step 6: Final answer
   x = 103,172.84