Finding the Third Proportional to 8,569.50 and 13,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,569.50 : 13,417.50 = 13,417.50 : x
2. Step 2: Convert to fraction form
   8,569.50/13,417.50 = 13,417.50/x
3. Step 3: Cross multiply
   8,569.50x = 13,417.50 × 13,417.50
4. Step 4: Simplify right side
   8,569.50x = 180,029,306.25
5. Step 5: Solve for x
   x = 180,029,306.25/8,569.50
6. Step 6: Final answer
   x = 21,008.15