Finding the Third Proportional to 43,773 and 65,643

Step by Step Solution

1. Step 1: Write the proportion equation
   43,773 : 65,643 = 65,643 : x
2. Step 2: Convert to fraction form
   43,773/65,643 = 65,643/x
3. Step 3: Cross multiply
   43,773x = 65,643 × 65,643
4. Step 4: Simplify right side
   43,773x = 4,309,003,449
5. Step 5: Solve for x
   x = 4,309,003,449/43,773
6. Step 6: Final answer
   x = 98,439.76