Finding the Third Proportional to 46,435 and 65,643

Step by Step Solution

1. Step 1: Write the proportion equation
   46,435 : 65,643 = 65,643 : x
2. Step 2: Convert to fraction form
   46,435/65,643 = 65,643/x
3. Step 3: Cross multiply
   46,435x = 65,643 × 65,643
4. Step 4: Simplify right side
   46,435x = 4,309,003,449
5. Step 5: Solve for x
   x = 4,309,003,449/46,435
6. Step 6: Final answer
   x = 92,796.46