Finding the Third Proportional to 12,187 and 17,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,187 : 17,814.50 = 17,814.50 : x
2. Step 2: Convert to fraction form
   12,187/17,814.50 = 17,814.50/x
3. Step 3: Cross multiply
   12,187x = 17,814.50 × 17,814.50
4. Step 4: Simplify right side
   12,187x = 317,356,410.25
5. Step 5: Solve for x
   x = 317,356,410.25/12,187
6. Step 6: Final answer
   x = 26,040.57