Finding the Third Proportional to 3,607.50 and 5,434.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,607.50 : 5,434.88 = 5,434.88 : x
2. Step 2: Convert to fraction form
   3,607.50/5,434.88 = 5,434.88/x
3. Step 3: Cross multiply
   3,607.50x = 5,434.88 × 5,434.88
4. Step 4: Simplify right side
   3,607.50x = 29,537,866.27
5. Step 5: Solve for x
   x = 29,537,866.27/3,607.50
6. Step 6: Final answer
   x = 8,187.90