Finding the Third Proportional to 12,678 and 18,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,678 : 18,547.50 = 18,547.50 : x
2. Step 2: Convert to fraction form
   12,678/18,547.50 = 18,547.50/x
3. Step 3: Cross multiply
   12,678x = 18,547.50 × 18,547.50
4. Step 4: Simplify right side
   12,678x = 344,009,756.25
5. Step 5: Solve for x
   x = 344,009,756.25/12,678
6. Step 6: Final answer
   x = 27,134.39