Finding the Third Proportional to 41,796 and 64,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,796 : 64,744.50 = 64,744.50 : x
2. Step 2: Convert to fraction form
   41,796/64,744.50 = 64,744.50/x
3. Step 3: Cross multiply
   41,796x = 64,744.50 × 64,744.50
4. Step 4: Simplify right side
   41,796x = 4,191,850,280.25
5. Step 5: Solve for x
   x = 4,191,850,280.25/41,796
6. Step 6: Final answer
   x = 100,293.10