Finding the Third Proportional to 11,683.50 and 18,599.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,683.50 : 18,599.25 = 18,599.25 : x
2. Step 2: Convert to fraction form
   11,683.50/18,599.25 = 18,599.25/x
3. Step 3: Cross multiply
   11,683.50x = 18,599.25 × 18,599.25
4. Step 4: Simplify right side
   11,683.50x = 345,932,100.56
5. Step 5: Solve for x
   x = 345,932,100.56/11,683.50
6. Step 6: Final answer
   x = 29,608.60