Finding the Third Proportional to 11,389.50 and 18,906.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,389.50 : 18,906.75 = 18,906.75 : x
2. Step 2: Convert to fraction form
   11,389.50/18,906.75 = 18,906.75/x
3. Step 3: Cross multiply
   11,389.50x = 18,906.75 × 18,906.75
4. Step 4: Simplify right side
   11,389.50x = 357,465,195.56
5. Step 5: Solve for x
   x = 357,465,195.56/11,389.50
6. Step 6: Final answer
   x = 31,385.50