Finding the Third Proportional to 46,576 and 65,841

Step by Step Solution

1. Step 1: Write the proportion equation
   46,576 : 65,841 = 65,841 : x
2. Step 2: Convert to fraction form
   46,576/65,841 = 65,841/x
3. Step 3: Cross multiply
   46,576x = 65,841 × 65,841
4. Step 4: Simplify right side
   46,576x = 4,335,037,281
5. Step 5: Solve for x
   x = 4,335,037,281/46,576
6. Step 6: Final answer
   x = 93,074.49