Finding the Third Proportional to 1,416.50 and 3,015.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.50 : 3,015.25 = 3,015.25 : x
2. Step 2: Convert to fraction form
   1,416.50/3,015.25 = 3,015.25/x
3. Step 3: Cross multiply
   1,416.50x = 3,015.25 × 3,015.25
4. Step 4: Simplify right side
   1,416.50x = 9,091,732.56
5. Step 5: Solve for x
   x = 9,091,732.56/1,416.50
6. Step 6: Final answer
   x = 6,418.45