Finding the Third Proportional to 12,129.75 and 14,590.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,129.75 : 14,590.13 = 14,590.13 : x
2. Step 2: Convert to fraction form
   12,129.75/14,590.13 = 14,590.13/x
3. Step 3: Cross multiply
   12,129.75x = 14,590.13 × 14,590.13
4. Step 4: Simplify right side
   12,129.75x = 212,871,747.52
5. Step 5: Solve for x
   x = 212,871,747.52/12,129.75
6. Step 6: Final answer
   x = 17,549.56