Finding the Third Proportional to 10,489.50 and 19,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.50 : 19,759.50 = 19,759.50 : x
2. Step 2: Convert to fraction form
   10,489.50/19,759.50 = 19,759.50/x
3. Step 3: Cross multiply
   10,489.50x = 19,759.50 × 19,759.50
4. Step 4: Simplify right side
   10,489.50x = 390,437,840.25
5. Step 5: Solve for x
   x = 390,437,840.25/10,489.50
6. Step 6: Final answer
   x = 37,221.78