Finding the Third Proportional to 19,588 and 28,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,588 : 28,561.50 = 28,561.50 : x
2. Step 2: Convert to fraction form
   19,588/28,561.50 = 28,561.50/x
3. Step 3: Cross multiply
   19,588x = 28,561.50 × 28,561.50
4. Step 4: Simplify right side
   19,588x = 815,759,282.25
5. Step 5: Solve for x
   x = 815,759,282.25/19,588
6. Step 6: Final answer
   x = 41,645.87