Finding the Third Proportional to 12,129.75 and 16,188.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,129.75 : 16,188.75 = 16,188.75 : x
2. Step 2: Convert to fraction form
   12,129.75/16,188.75 = 16,188.75/x
3. Step 3: Cross multiply
   12,129.75x = 16,188.75 × 16,188.75
4. Step 4: Simplify right side
   12,129.75x = 262,075,626.56
5. Step 5: Solve for x
   x = 262,075,626.56/12,129.75
6. Step 6: Final answer
   x = 21,606.02