Finding the Third Proportional to 11,878.50 and 18,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,878.50 : 18,683.50 = 18,683.50 : x
2. Step 2: Convert to fraction form
   11,878.50/18,683.50 = 18,683.50/x
3. Step 3: Cross multiply
   11,878.50x = 18,683.50 × 18,683.50
4. Step 4: Simplify right side
   11,878.50x = 349,073,172.25
5. Step 5: Solve for x
   x = 349,073,172.25/11,878.50
6. Step 6: Final answer
   x = 29,386.97