Finding the Third Proportional to 7,493.44 and 16,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,493.44 : 16,414.50 = 16,414.50 : x
2. Step 2: Convert to fraction form
   7,493.44/16,414.50 = 16,414.50/x
3. Step 3: Cross multiply
   7,493.44x = 16,414.50 × 16,414.50
4. Step 4: Simplify right side
   7,493.44x = 269,435,810.25
5. Step 5: Solve for x
   x = 269,435,810.25/7,493.44
6. Step 6: Final answer
   x = 35,956.24