Finding the Third Proportional to 12,119.75 and 17,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,119.75 : 17,780.50 = 17,780.50 : x
2. Step 2: Convert to fraction form
   12,119.75/17,780.50 = 17,780.50/x
3. Step 3: Cross multiply
   12,119.75x = 17,780.50 × 17,780.50
4. Step 4: Simplify right side
   12,119.75x = 316,146,180.25
5. Step 5: Solve for x
   x = 316,146,180.25/12,119.75
6. Step 6: Final answer
   x = 26,085.21