Finding the Third Proportional to 41,733 and 64,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,733 : 64,705.50 = 64,705.50 : x
2. Step 2: Convert to fraction form
   41,733/64,705.50 = 64,705.50/x
3. Step 3: Cross multiply
   41,733x = 64,705.50 × 64,705.50
4. Step 4: Simplify right side
   41,733x = 4,186,801,730.25
5. Step 5: Solve for x
   x = 4,186,801,730.25/41,733
6. Step 6: Final answer
   x = 100,323.53