Finding the Third Proportional to 47,643 and 65,389

Step by Step Solution

1. Step 1: Write the proportion equation
   47,643 : 65,389 = 65,389 : x
2. Step 2: Convert to fraction form
   47,643/65,389 = 65,389/x
3. Step 3: Cross multiply
   47,643x = 65,389 × 65,389
4. Step 4: Simplify right side
   47,643x = 4,275,721,321
5. Step 5: Solve for x
   x = 4,275,721,321/47,643
6. Step 6: Final answer
   x = 89,745.01