Finding the Third Proportional to 47,656 and 70,096

Step by Step Solution

1. Step 1: Write the proportion equation
   47,656 : 70,096 = 70,096 : x
2. Step 2: Convert to fraction form
   47,656/70,096 = 70,096/x
3. Step 3: Cross multiply
   47,656x = 70,096 × 70,096
4. Step 4: Simplify right side
   47,656x = 4,913,449,216
5. Step 5: Solve for x
   x = 4,913,449,216/47,656
6. Step 6: Final answer
   x = 103,102.43