Finding the Third Proportional to 47,842 and 70,301

Step by Step Solution

1. Step 1: Write the proportion equation
   47,842 : 70,301 = 70,301 : x
2. Step 2: Convert to fraction form
   47,842/70,301 = 70,301/x
3. Step 3: Cross multiply
   47,842x = 70,301 × 70,301
4. Step 4: Simplify right side
   47,842x = 4,942,230,601
5. Step 5: Solve for x
   x = 4,942,230,601/47,842
6. Step 6: Final answer
   x = 103,303.18