Finding the Third Proportional to 8,569.50 and 17,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,569.50 : 17,374.50 = 17,374.50 : x
2. Step 2: Convert to fraction form
   8,569.50/17,374.50 = 17,374.50/x
3. Step 3: Cross multiply
   8,569.50x = 17,374.50 × 17,374.50
4. Step 4: Simplify right side
   8,569.50x = 301,873,250.25
5. Step 5: Solve for x
   x = 301,873,250.25/8,569.50
6. Step 6: Final answer
   x = 35,226.47