Finding the Third Proportional to 47,733 and 70,138

Step by Step Solution

1. Step 1: Write the proportion equation
   47,733 : 70,138 = 70,138 : x
2. Step 2: Convert to fraction form
   47,733/70,138 = 70,138/x
3. Step 3: Cross multiply
   47,733x = 70,138 × 70,138
4. Step 4: Simplify right side
   47,733x = 4,919,339,044
5. Step 5: Solve for x
   x = 4,919,339,044/47,733
6. Step 6: Final answer
   x = 103,059.50