Finding the Third Proportional to 41,757 and 64,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,757 : 64,669.50 = 64,669.50 : x
2. Step 2: Convert to fraction form
   41,757/64,669.50 = 64,669.50/x
3. Step 3: Cross multiply
   41,757x = 64,669.50 × 64,669.50
4. Step 4: Simplify right side
   41,757x = 4,182,144,230.25
5. Step 5: Solve for x
   x = 4,182,144,230.25/41,757
6. Step 6: Final answer
   x = 100,154.33