Finding the Third Proportional to 11,567 and 17,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,567 : 17,783.50 = 17,783.50 : x
2. Step 2: Convert to fraction form
   11,567/17,783.50 = 17,783.50/x
3. Step 3: Cross multiply
   11,567x = 17,783.50 × 17,783.50
4. Step 4: Simplify right side
   11,567x = 316,252,872.25
5. Step 5: Solve for x
   x = 316,252,872.25/11,567
6. Step 6: Final answer
   x = 27,340.96