Finding the Third Proportional to 41,950.50 and 65,478

Step by Step Solution

1. Step 1: Write the proportion equation
   41,950.50 : 65,478 = 65,478 : x
2. Step 2: Convert to fraction form
   41,950.50/65,478 = 65,478/x
3. Step 3: Cross multiply
   41,950.50x = 65,478 × 65,478
4. Step 4: Simplify right side
   41,950.50x = 4,287,368,484
5. Step 5: Solve for x
   x = 4,287,368,484/41,950.50
6. Step 6: Final answer
   x = 102,200.65