Finding the Third Proportional to 10,909.50 and 17,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,909.50 : 17,302.50 = 17,302.50 : x
2. Step 2: Convert to fraction form
   10,909.50/17,302.50 = 17,302.50/x
3. Step 3: Cross multiply
   10,909.50x = 17,302.50 × 17,302.50
4. Step 4: Simplify right side
   10,909.50x = 299,376,506.25
5. Step 5: Solve for x
   x = 299,376,506.25/10,909.50
6. Step 6: Final answer
   x = 27,441.82