Finding the Third Proportional to 14,070 and 19,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,070 : 19,789.50 = 19,789.50 : x
2. Step 2: Convert to fraction form
   14,070/19,789.50 = 19,789.50/x
3. Step 3: Cross multiply
   14,070x = 19,789.50 × 19,789.50
4. Step 4: Simplify right side
   14,070x = 391,624,310.25
5. Step 5: Solve for x
   x = 391,624,310.25/14,070
6. Step 6: Final answer
   x = 27,834.00