Finding the Third Proportional to 8,554.75 and 17,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,554.75 : 17,683.50 = 17,683.50 : x
2. Step 2: Convert to fraction form
   8,554.75/17,683.50 = 17,683.50/x
3. Step 3: Cross multiply
   8,554.75x = 17,683.50 × 17,683.50
4. Step 4: Simplify right side
   8,554.75x = 312,706,172.25
5. Step 5: Solve for x
   x = 312,706,172.25/8,554.75
6. Step 6: Final answer
   x = 36,553.51