Finding the Third Proportional to 11,977.50 and 18,384.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,977.50 : 18,384.75 = 18,384.75 : x
2. Step 2: Convert to fraction form
   11,977.50/18,384.75 = 18,384.75/x
3. Step 3: Cross multiply
   11,977.50x = 18,384.75 × 18,384.75
4. Step 4: Simplify right side
   11,977.50x = 337,999,032.56
5. Step 5: Solve for x
   x = 337,999,032.56/11,977.50
6. Step 6: Final answer
   x = 28,219.50