Finding the Third Proportional to 11,445 and 14,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,445 : 14,683.50 = 14,683.50 : x
2. Step 2: Convert to fraction form
   11,445/14,683.50 = 14,683.50/x
3. Step 3: Cross multiply
   11,445x = 14,683.50 × 14,683.50
4. Step 4: Simplify right side
   11,445x = 215,605,172.25
5. Step 5: Solve for x
   x = 215,605,172.25/11,445
6. Step 6: Final answer
   x = 18,838.37