Finding the Third Proportional to 4,391 and 5,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,391 : 5,915.50 = 5,915.50 : x
2. Step 2: Convert to fraction form
   4,391/5,915.50 = 5,915.50/x
3. Step 3: Cross multiply
   4,391x = 5,915.50 × 5,915.50
4. Step 4: Simplify right side
   4,391x = 34,993,140.25
5. Step 5: Solve for x
   x = 34,993,140.25/4,391
6. Step 6: Final answer
   x = 7,969.29