Finding the Third Proportional to 13,784.50 and 19,529

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784.50 : 19,529 = 19,529 : x
2. Step 2: Convert to fraction form
   13,784.50/19,529 = 19,529/x
3. Step 3: Cross multiply
   13,784.50x = 19,529 × 19,529
4. Step 4: Simplify right side
   13,784.50x = 381,381,841
5. Step 5: Solve for x
   x = 381,381,841/13,784.50
6. Step 6: Final answer
   x = 27,667.44