Finding the Third Proportional to 12,814 and 19,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814 : 19,588.50 = 19,588.50 : x
2. Step 2: Convert to fraction form
   12,814/19,588.50 = 19,588.50/x
3. Step 3: Cross multiply
   12,814x = 19,588.50 × 19,588.50
4. Step 4: Simplify right side
   12,814x = 383,709,332.25
5. Step 5: Solve for x
   x = 383,709,332.25/12,814
6. Step 6: Final answer
   x = 29,944.54