Finding the Third Proportional to 13,189.50 and 19,770.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,189.50 : 19,770.75 = 19,770.75 : x
2. Step 2: Convert to fraction form
   13,189.50/19,770.75 = 19,770.75/x
3. Step 3: Cross multiply
   13,189.50x = 19,770.75 × 19,770.75
4. Step 4: Simplify right side
   13,189.50x = 390,882,555.56
5. Step 5: Solve for x
   x = 390,882,555.56/13,189.50
6. Step 6: Final answer
   x = 29,635.89