Finding the Third Proportional to 41,766 and 64,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,766 : 64,770.50 = 64,770.50 : x
2. Step 2: Convert to fraction form
   41,766/64,770.50 = 64,770.50/x
3. Step 3: Cross multiply
   41,766x = 64,770.50 × 64,770.50
4. Step 4: Simplify right side
   41,766x = 4,195,217,670.25
5. Step 5: Solve for x
   x = 4,195,217,670.25/41,766
6. Step 6: Final answer
   x = 100,445.76