Finding the Third Proportional to 3,597.75 and 7,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,597.75 : 7,861.50 = 7,861.50 : x
2. Step 2: Convert to fraction form
   3,597.75/7,861.50 = 7,861.50/x
3. Step 3: Cross multiply
   3,597.75x = 7,861.50 × 7,861.50
4. Step 4: Simplify right side
   3,597.75x = 61,803,182.25
5. Step 5: Solve for x
   x = 61,803,182.25/3,597.75
6. Step 6: Final answer
   x = 17,178.29