Finding the Third Proportional to 41,523 and 65,260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,523 : 65,260.50 = 65,260.50 : x
2. Step 2: Convert to fraction form
   41,523/65,260.50 = 65,260.50/x
3. Step 3: Cross multiply
   41,523x = 65,260.50 × 65,260.50
4. Step 4: Simplify right side
   41,523x = 4,258,932,860.25
5. Step 5: Solve for x
   x = 4,258,932,860.25/41,523
6. Step 6: Final answer
   x = 102,568.04