Finding the Third Proportional to 13,692 and 19,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,692 : 19,565.50 = 19,565.50 : x
2. Step 2: Convert to fraction form
   13,692/19,565.50 = 19,565.50/x
3. Step 3: Cross multiply
   13,692x = 19,565.50 × 19,565.50
4. Step 4: Simplify right side
   13,692x = 382,808,790.25
5. Step 5: Solve for x
   x = 382,808,790.25/13,692
6. Step 6: Final answer
   x = 27,958.57