Finding the Third Proportional to 3,649.50 and 7,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649.50 : 7,846.50 = 7,846.50 : x
2. Step 2: Convert to fraction form
   3,649.50/7,846.50 = 7,846.50/x
3. Step 3: Cross multiply
   3,649.50x = 7,846.50 × 7,846.50
4. Step 4: Simplify right side
   3,649.50x = 61,567,562.25
5. Step 5: Solve for x
   x = 61,567,562.25/3,649.50
6. Step 6: Final answer
   x = 16,870.14