Finding the Third Proportional to 65,814 and 105,990

Step by Step Solution

1. Step 1: Write the proportion equation
   65,814 : 105,990 = 105,990 : x
2. Step 2: Convert to fraction form
   65,814/105,990 = 105,990/x
3. Step 3: Cross multiply
   65,814x = 105,990 × 105,990
4. Step 4: Simplify right side
   65,814x = 11,233,880,100
5. Step 5: Solve for x
   x = 11,233,880,100/65,814
6. Step 6: Final answer
   x = 170,691.34