Finding the Third Proportional to 11,821.50 and 17,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,821.50 : 17,977.50 = 17,977.50 : x
2. Step 2: Convert to fraction form
   11,821.50/17,977.50 = 17,977.50/x
3. Step 3: Cross multiply
   11,821.50x = 17,977.50 × 17,977.50
4. Step 4: Simplify right side
   11,821.50x = 323,190,506.25
5. Step 5: Solve for x
   x = 323,190,506.25/11,821.50
6. Step 6: Final answer
   x = 27,339.21