Finding the Third Proportional to 2,310 and 4,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,310 : 4,978.50 = 4,978.50 : x
2. Step 2: Convert to fraction form
   2,310/4,978.50 = 4,978.50/x
3. Step 3: Cross multiply
   2,310x = 4,978.50 × 4,978.50
4. Step 4: Simplify right side
   2,310x = 24,785,462.25
5. Step 5: Solve for x
   x = 24,785,462.25/2,310
6. Step 6: Final answer
   x = 10,729.64