Finding the Third Proportional to 41,851 and 65,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,851 : 65,314.50 = 65,314.50 : x
2. Step 2: Convert to fraction form
   41,851/65,314.50 = 65,314.50/x
3. Step 3: Cross multiply
   41,851x = 65,314.50 × 65,314.50
4. Step 4: Simplify right side
   41,851x = 4,265,983,910.25
5. Step 5: Solve for x
   x = 4,265,983,910.25/41,851
6. Step 6: Final answer
   x = 101,932.66