Finding the Third Proportional to 35,013 and 53,818

Step by Step Solution

1. Step 1: Write the proportion equation
   35,013 : 53,818 = 53,818 : x
2. Step 2: Convert to fraction form
   35,013/53,818 = 53,818/x
3. Step 3: Cross multiply
   35,013x = 53,818 × 53,818
4. Step 4: Simplify right side
   35,013x = 2,896,377,124
5. Step 5: Solve for x
   x = 2,896,377,124/35,013
6. Step 6: Final answer
   x = 82,722.91