Finding the Third Proportional to 12,765 and 19,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,765 : 19,615.50 = 19,615.50 : x
2. Step 2: Convert to fraction form
   12,765/19,615.50 = 19,615.50/x
3. Step 3: Cross multiply
   12,765x = 19,615.50 × 19,615.50
4. Step 4: Simplify right side
   12,765x = 384,767,840.25
5. Step 5: Solve for x
   x = 384,767,840.25/12,765
6. Step 6: Final answer
   x = 30,142.41