Finding the Third Proportional to 41,684.63 and 64,641.38

Step by Step Solution

1. Step 1: Write the proportion equation
   41,684.63 : 64,641.38 = 64,641.38 : x
2. Step 2: Convert to fraction form
   41,684.63/64,641.38 = 64,641.38/x
3. Step 3: Cross multiply
   41,684.63x = 64,641.38 × 64,641.38
4. Step 4: Simplify right side
   41,684.63x = 4,178,507,361.89
5. Step 5: Solve for x
   x = 4,178,507,361.89/41,684.63
6. Step 6: Final answer
   x = 100,240.97