Finding the Third Proportional to 4,191 and 5,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,191 : 5,644.50 = 5,644.50 : x
2. Step 2: Convert to fraction form
   4,191/5,644.50 = 5,644.50/x
3. Step 3: Cross multiply
   4,191x = 5,644.50 × 5,644.50
4. Step 4: Simplify right side
   4,191x = 31,860,380.25
5. Step 5: Solve for x
   x = 31,860,380.25/4,191
6. Step 6: Final answer
   x = 7,602.10