Finding the Third Proportional to 5,634 and 11,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634 : 11,119.50 = 11,119.50 : x
2. Step 2: Convert to fraction form
   5,634/11,119.50 = 11,119.50/x
3. Step 3: Cross multiply
   5,634x = 11,119.50 × 11,119.50
4. Step 4: Simplify right side
   5,634x = 123,643,280.25
5. Step 5: Solve for x
   x = 123,643,280.25/5,634
6. Step 6: Final answer
   x = 21,945.91