Finding the Third Proportional to 3,710.50 and 4,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,710.50 : 4,298.50 = 4,298.50 : x
2. Step 2: Convert to fraction form
   3,710.50/4,298.50 = 4,298.50/x
3. Step 3: Cross multiply
   3,710.50x = 4,298.50 × 4,298.50
4. Step 4: Simplify right side
   3,710.50x = 18,477,102.25
5. Step 5: Solve for x
   x = 18,477,102.25/3,710.50
6. Step 6: Final answer
   x = 4,979.68