Finding the Third Proportional to 4,145.34 and 7,187.91

Step by Step Solution

1. Step 1: Write the proportion equation
   4,145.34 : 7,187.91 = 7,187.91 : x
2. Step 2: Convert to fraction form
   4,145.34/7,187.91 = 7,187.91/x
3. Step 3: Cross multiply
   4,145.34x = 7,187.91 × 7,187.91
4. Step 4: Simplify right side
   4,145.34x = 51,665,996.26
5. Step 5: Solve for x
   x = 51,665,996.26/4,145.34
6. Step 6: Final answer
   x = 12,463.62