Finding the Third Proportional to 12,291.75 and 18,959.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,291.75 : 18,959.06 = 18,959.06 : x
2. Step 2: Convert to fraction form
   12,291.75/18,959.06 = 18,959.06/x
3. Step 3: Cross multiply
   12,291.75x = 18,959.06 × 18,959.06
4. Step 4: Simplify right side
   12,291.75x = 359,446,050.88
5. Step 5: Solve for x
   x = 359,446,050.88/12,291.75
6. Step 6: Final answer
   x = 29,242.87