Finding the Third Proportional to 40,854 and 65,046

Step by Step Solution

1. Step 1: Write the proportion equation
   40,854 : 65,046 = 65,046 : x
2. Step 2: Convert to fraction form
   40,854/65,046 = 65,046/x
3. Step 3: Cross multiply
   40,854x = 65,046 × 65,046
4. Step 4: Simplify right side
   40,854x = 4,230,982,116
5. Step 5: Solve for x
   x = 4,230,982,116/40,854
6. Step 6: Final answer
   x = 103,563.47