Finding the Third Proportional to 11,870 and 18,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,870 : 18,378.50 = 18,378.50 : x
2. Step 2: Convert to fraction form
   11,870/18,378.50 = 18,378.50/x
3. Step 3: Cross multiply
   11,870x = 18,378.50 × 18,378.50
4. Step 4: Simplify right side
   11,870x = 337,769,262.25
5. Step 5: Solve for x
   x = 337,769,262.25/11,870
6. Step 6: Final answer
   x = 28,455.71