Finding the Third Proportional to 3,199.25 and 4,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,199.25 : 4,935.50 = 4,935.50 : x
2. Step 2: Convert to fraction form
   3,199.25/4,935.50 = 4,935.50/x
3. Step 3: Cross multiply
   3,199.25x = 4,935.50 × 4,935.50
4. Step 4: Simplify right side
   3,199.25x = 24,359,160.25
5. Step 5: Solve for x
   x = 24,359,160.25/3,199.25
6. Step 6: Final answer
   x = 7,614.02