Finding the Third Proportional to 12,588.75 and 13,682.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,588.75 : 13,682.25 = 13,682.25 : x
2. Step 2: Convert to fraction form
   12,588.75/13,682.25 = 13,682.25/x
3. Step 3: Cross multiply
   12,588.75x = 13,682.25 × 13,682.25
4. Step 4: Simplify right side
   12,588.75x = 187,203,965.06
5. Step 5: Solve for x
   x = 187,203,965.06/12,588.75
6. Step 6: Final answer
   x = 14,870.73