Finding the Third Proportional to 13,693 and 19,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,693 : 19,783.50 = 19,783.50 : x
2. Step 2: Convert to fraction form
   13,693/19,783.50 = 19,783.50/x
3. Step 3: Cross multiply
   13,693x = 19,783.50 × 19,783.50
4. Step 4: Simplify right side
   13,693x = 391,386,872.25
5. Step 5: Solve for x
   x = 391,386,872.25/13,693
6. Step 6: Final answer
   x = 28,582.99