Finding the Third Proportional to 10,830.50 and 17,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,830.50 : 17,231.50 = 17,231.50 : x
2. Step 2: Convert to fraction form
   10,830.50/17,231.50 = 17,231.50/x
3. Step 3: Cross multiply
   10,830.50x = 17,231.50 × 17,231.50
4. Step 4: Simplify right side
   10,830.50x = 296,924,592.25
5. Step 5: Solve for x
   x = 296,924,592.25/10,830.50
6. Step 6: Final answer
   x = 27,415.59