Finding the Third Proportional to 11,817.75 and 17,972.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,817.75 : 17,972.25 = 17,972.25 : x
2. Step 2: Convert to fraction form
   11,817.75/17,972.25 = 17,972.25/x
3. Step 3: Cross multiply
   11,817.75x = 17,972.25 × 17,972.25
4. Step 4: Simplify right side
   11,817.75x = 323,001,770.06
5. Step 5: Solve for x
   x = 323,001,770.06/11,817.75
6. Step 6: Final answer
   x = 27,331.92