Finding the Third Proportional to 11,866.50 and 17,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866.50 : 17,878.50 = 17,878.50 : x
2. Step 2: Convert to fraction form
   11,866.50/17,878.50 = 17,878.50/x
3. Step 3: Cross multiply
   11,866.50x = 17,878.50 × 17,878.50
4. Step 4: Simplify right side
   11,866.50x = 319,640,762.25
5. Step 5: Solve for x
   x = 319,640,762.25/11,866.50
6. Step 6: Final answer
   x = 26,936.40