Finding the Third Proportional to 11,181 and 17,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,181 : 17,683.50 = 17,683.50 : x
2. Step 2: Convert to fraction form
   11,181/17,683.50 = 17,683.50/x
3. Step 3: Cross multiply
   11,181x = 17,683.50 × 17,683.50
4. Step 4: Simplify right side
   11,181x = 312,706,172.25
5. Step 5: Solve for x
   x = 312,706,172.25/11,181
6. Step 6: Final answer
   x = 27,967.64