Finding the Third Proportional to 65,461 and 103,821

Step by Step Solution

1. Step 1: Write the proportion equation
   65,461 : 103,821 = 103,821 : x
2. Step 2: Convert to fraction form
   65,461/103,821 = 103,821/x
3. Step 3: Cross multiply
   65,461x = 103,821 × 103,821
4. Step 4: Simplify right side
   65,461x = 10,778,800,041
5. Step 5: Solve for x
   x = 10,778,800,041/65,461
6. Step 6: Final answer
   x = 164,659.87