Finding the Third Proportional to 11,830.50 and 18,591.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,830.50 : 18,591.75 = 18,591.75 : x
2. Step 2: Convert to fraction form
   11,830.50/18,591.75 = 18,591.75/x
3. Step 3: Cross multiply
   11,830.50x = 18,591.75 × 18,591.75
4. Step 4: Simplify right side
   11,830.50x = 345,653,168.06
5. Step 5: Solve for x
   x = 345,653,168.06/11,830.50
6. Step 6: Final answer
   x = 29,217.12