Finding the Third Proportional to 4,549 and 5,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,549 : 5,851.50 = 5,851.50 : x
2. Step 2: Convert to fraction form
   4,549/5,851.50 = 5,851.50/x
3. Step 3: Cross multiply
   4,549x = 5,851.50 × 5,851.50
4. Step 4: Simplify right side
   4,549x = 34,240,052.25
5. Step 5: Solve for x
   x = 34,240,052.25/4,549
6. Step 6: Final answer
   x = 7,526.94