Finding the Third Proportional to 41,646 and 64,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,646 : 64,415.50 = 64,415.50 : x
2. Step 2: Convert to fraction form
   41,646/64,415.50 = 64,415.50/x
3. Step 3: Cross multiply
   41,646x = 64,415.50 × 64,415.50
4. Step 4: Simplify right side
   41,646x = 4,149,356,640.25
5. Step 5: Solve for x
   x = 4,149,356,640.25/41,646
6. Step 6: Final answer
   x = 99,633.98