Finding the Third Proportional to 4,371 and 5,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,371 : 5,842.50 = 5,842.50 : x
2. Step 2: Convert to fraction form
   4,371/5,842.50 = 5,842.50/x
3. Step 3: Cross multiply
   4,371x = 5,842.50 × 5,842.50
4. Step 4: Simplify right side
   4,371x = 34,134,806.25
5. Step 5: Solve for x
   x = 34,134,806.25/4,371
6. Step 6: Final answer
   x = 7,809.38