Finding the Third Proportional to 17,529 and 27,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,529 : 27,766.50 = 27,766.50 : x
2. Step 2: Convert to fraction form
   17,529/27,766.50 = 27,766.50/x
3. Step 3: Cross multiply
   17,529x = 27,766.50 × 27,766.50
4. Step 4: Simplify right side
   17,529x = 770,978,522.25
5. Step 5: Solve for x
   x = 770,978,522.25/17,529
6. Step 6: Final answer
   x = 43,983.03