Finding the Third Proportional to 41,647.50 and 64,506.38

Step by Step Solution

1. Step 1: Write the proportion equation
   41,647.50 : 64,506.38 = 64,506.38 : x
2. Step 2: Convert to fraction form
   41,647.50/64,506.38 = 64,506.38/x
3. Step 3: Cross multiply
   41,647.50x = 64,506.38 × 64,506.38
4. Step 4: Simplify right side
   41,647.50x = 4,161,072,415.64
5. Step 5: Solve for x
   x = 4,161,072,415.64/41,647.50
6. Step 6: Final answer
   x = 99,911.70