Finding the Third Proportional to 5,298 and 10,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,298 : 10,978.50 = 10,978.50 : x
2. Step 2: Convert to fraction form
   5,298/10,978.50 = 10,978.50/x
3. Step 3: Cross multiply
   5,298x = 10,978.50 × 10,978.50
4. Step 4: Simplify right side
   5,298x = 120,527,462.25
5. Step 5: Solve for x
   x = 120,527,462.25/5,298
6. Step 6: Final answer
   x = 22,749.62