Finding the Third Proportional to 11,880 and 18,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,880 : 18,685.50 = 18,685.50 : x
2. Step 2: Convert to fraction form
   11,880/18,685.50 = 18,685.50/x
3. Step 3: Cross multiply
   11,880x = 18,685.50 × 18,685.50
4. Step 4: Simplify right side
   11,880x = 349,147,910.25
5. Step 5: Solve for x
   x = 349,147,910.25/11,880
6. Step 6: Final answer
   x = 29,389.55