Finding the Third Proportional to 14,071.50 and 19,789

Step by Step Solution

1. Step 1: Write the proportion equation
   14,071.50 : 19,789 = 19,789 : x
2. Step 2: Convert to fraction form
   14,071.50/19,789 = 19,789/x
3. Step 3: Cross multiply
   14,071.50x = 19,789 × 19,789
4. Step 4: Simplify right side
   14,071.50x = 391,604,521
5. Step 5: Solve for x
   x = 391,604,521/14,071.50
6. Step 6: Final answer
   x = 27,829.62