Finding the Third Proportional to 3,196.50 and 4,592.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.50 : 4,592.25 = 4,592.25 : x
2. Step 2: Convert to fraction form
   3,196.50/4,592.25 = 4,592.25/x
3. Step 3: Cross multiply
   3,196.50x = 4,592.25 × 4,592.25
4. Step 4: Simplify right side
   3,196.50x = 21,088,760.06
5. Step 5: Solve for x
   x = 21,088,760.06/3,196.50
6. Step 6: Final answer
   x = 6,597.45