Finding the Third Proportional to 17,977 and 27,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,977 : 27,216.50 = 27,216.50 : x
2. Step 2: Convert to fraction form
   17,977/27,216.50 = 27,216.50/x
3. Step 3: Cross multiply
   17,977x = 27,216.50 × 27,216.50
4. Step 4: Simplify right side
   17,977x = 740,737,872.25
5. Step 5: Solve for x
   x = 740,737,872.25/17,977
6. Step 6: Final answer
   x = 41,204.75